*Books*

- Differential and Algebraic Riccati Equations with Applications to Boundary/Point Control Problems: Continuous Theory and Approximation Theory (with R. Triggiani), Springer Verlag, Lecture Notes 164, 1991, 160p.
- Research monograph, Deterministic Control Theory for Infinite Dimensional Systems, vols. I and II (with R. Triggiani)
*Encyclopedia of Mathematics*, Cambridge University Press, 1999. - Research monograph, Stabilization and Controllability of Nonlinear Control Systems Governed by Partial Differential Equations (with R. Triggiani) in preparation under a contract from Kluwer Academic Publishers.
- NSF-CMBS Lecture Notes: Mathematical Control Theory of Coupled PDE's,
*SIAM*, 2002. *Functional Analytic Methods for Evolution Equations*(co-authored with G. Da Prato, A. Lunardi, L. Weis, R. Schnaubelt), Springer Verlag Lecture Notes in Mathematics, 2004.- Tangential Boundary Stabilization of Navier-Stokes Equations (with V. Barbu and R. Triggiani),
*Memoirs of AMS*, vol. 181, 2005. - Long-Time Behavior of Second-Order Equations with Nonlinear Damping (with I. Chueshov),
*Memoirs of AMS*, Vol. 195, 2008. - Von Karman Evolutions (with I. Chueshov),
*Monograph Series, Springer Verlag*, 2010. - SISSA Lecture Notes: Well-Posedness and Long-Time Behavior of Second-Order Evolutions with Critical Exponents, AMS Publishing, to appear.

*Books edited*

- Control Problems for Systems Described by Partial Differential Equations and Applications (with R. Triggiani), Springer-Verlag
*Lecture Notes*, Vol. 97, 1987. - Modelling and Inverse Problems of Control for Distributed Parameter Systems (with A. Kurzhanski), Springer-Verlag,
*Lecture Notes in Control and Information Sciences*, Vol. 154, 1991. - Control Problems in Industry (with B. Morton), Birkhauser,
*Progress in Systems and Control Theory*, Vol. 21, 1995. - Optimization Methods in PDE's (with S. Cox),
*Contemporary Mathematics*, AMS, 1997. - System Modeling and Optimization (with A. Dontchev, P. Kall, A. Olbrot, and M. Polis),
*Research Notes in Mathematics Series*, Chapman and Hall, 1999. - Control of Nonlinear Distributed Systems (with G. Chen and J. Zhou),
*Lecture Notes in Pure and Applied Mathematics,*Marcel Dekker, Vol. 218, 2001. - Optimal Control of Complex Structures (with K-H. Hoffman, G. Leugering, J. Sprekels, F. Troltzsch), Birkhauser, Vol. 139, 2002.
*Analysis and Optimization of Differential Systems*(with V. Barbu, D. Tiba, and C. Varasan), Kluwer AP, 2003.*Geometric Methods in Inverse Problems and Control Theory*(with C. Cooke, G. Uhlmann, and M. Vogelious), Springer-Verlag, 2003.- Special issue of
*Control and Cybernetics*(with Jan Sokolowski), dedicated to Prof. K. Malanowski, 32(3) (2003). - Control Methods in PDE-Dynamical Systems (with F. Ancona, W. Littman, and R. Triggiani), AMS-SIAM Joint Summer Research Conference,
*Contemporary Mathematics, AMS*, vol. 42. - Control Theory of PDEs, guest editor (with L. Pandolfi) for the special issue of the journal,
*Applied Mathematics and Optimization,*Springer Verlag, vol. 27, 2008. - Special two volumes for
*Applicationae Mathematicae,*Vol. 35(3) and 35(4), 2008,*Journal of Polish Academy of Sciences*, funded in 1953 by H. Steinhaus. - Invited special issue, Qualitative Behavior of Nonlinear Evolutionary PDE's,
*Discrete and Continuous Dynamical Systems*(co-edited with M. Nakao and G. Todorova), September 2009. *Advances in Dynamics and Control: Theory Methods and Applications*(co-edited with S. Sivasundaram, J. Vasandhara, F. Udwadia), special volume in honor of A. V. Balakrishnan, Cambridge Scientific Publishers, 2010.- Progress in Analysis and its Applications, Prpceedings of the 7th ISAAC Congress. Chapter: Control and Optimization of Nonlinear Evolutionary Systems (with. F. Bucci), ISAACS, 2011.

*Review papers*

- Boundary Stabilization Problems for Hyperbolic Dynamics - A Review, (invited review paper),
*Lecture Notes in Control and Information Sciences '84*, Systems Modelling and Optimization, Springer-Verlag (1986), pp. 499-522 - Algebraic Riccati Equations arising in boundary/point control: A review of theoretical and numerical results Part I: continuous theory, Part II: Approximation theory (with R. Triggiani). Review paper:
*Perspectives in Control Theory*, Birkhauser (1990), pp. 175-235. - Recent advances in regularity of second-order hyperbolic mixed problems and applications (with R. Triggiani), invited review paper for the series
*Dynamics Reported*, Springer-Verlag 3 (1994), pp. 104-162. - Riccati Equations arising from boundary and point control problems. Invited review paper for
*ITSIRIA Conference Analysis and Optimization of Systems*, LNCIS, Springer-Verlag 185 (1993), pp. 23-46. - Control of Systems Governed by PDE's: A historical perspective, invited paper for the
*34th IEEE-CDC Conference*(1995), pp. 2792-2795. - The case of differential geometry in the control of single and coupled PDE's, the structural acoustic chamber (with R. Gulliver, W. Littman, and R. Triggiani),
*The IMA Volumes in Mathematics and its Applications*, Springer-Verlag 137 (2003), pp. 73-183.

*Refereed journal articles*

- Necessary Conditions of Optimality for Optimal Control of Systems with Delay,
*Archiwum AiT*, No. 4, 1973). - Conical Approximations of Sets,
*Control and Cybernetics*, 4(3-4) (1975). - Finite Difference Approximation of Optimal Control for Systems Described by Nonlinear Differential Equations with Delay,
*Control and Cybernetics*, 5(1) (1976), pp. 35-67. - On Regularity of Solutions to Convex Optimal Control Problems with Control Constraints for Parabolic Systems, with K. Malanowski,
*Control and Cybernetics*, 6(3-4) (1977), pp. 57-74. - Generalizations of Dubovitsky-Mulutyn Conditions,
*Journal of Optimization Theory and Applications,*24(3) (1978), pp. 421-436. - On Discrete-Time Ritz-Galerkin Approximation of Optimal Control Problems with Control Constraints for Parabolic Systems, with K. Malanowski,
*Control and Cybernetics*, 7(1) (1978), pp. 20-37. - Boundary control problems: Regularity of optimal solutions,
*Applied Mathematics and Optimization*4 (1978), pp. 301-327. - State Constrained Control Problems for Parabolic Systems: Regularity of Optimal Solutions,
*Applied Mathematics and Optimization*6 (1980), pp. 1-29. - Boundary Control for Parabolic Systems: Finite Element Approximation,
*Applied Mathematics and Optimization*6 (1980), pp. 31-62. - A Unified Theory for Abstract Parabolic Boundary Problems: A Semi-Group Approach,
*Applied Mathematics and Optimization*6 (1980), pp. 287-333. - A Cosine Operator Approach to Modelling
*L*2(0,T;*L*2W)) boundary Input Hyperbolic Equations (with R. Triggiani),*Applied Mathematics and Optimization*7 (1981), pp. 35-83. - Hyperbolic Equations with Dirichlet Boundary Feedback via Position Vector: Regularity and Almost Periodic Stabilization, Part 1 (with R. Triggiani),
*Applied Mathematics and Optimization*8 (1981), pp. 1-37. - Hyperbolic Equations with Dirichlet Boundary Feedback via Position Vector: Regularity and Almost Periodic Stabilization, Part II (with R. Triggiani),
*Applied Mathematics and Optimization*8 (1982), pp. 103-130. - Hyperbolic Equations with Dirichlet Boundary Feedback via Position Vector: Regularity and Almost Periodic Stabilization, Part III (with R. Triggiani),
*Applied Mathematics and Optimization*8, pp. 199-221 (1982). - Structural Assignment of Neumann Boundary Feedback Parabolic Equations (with R. Triggiani),
*Annali Mat. Pura e Appl. (IV)*XXXII, pp. 131-175 (1982). - Stabilization and Structural Assignment of Dirichlet Boundary Feedback Parabolic Equations (with R. Triggiani),
*SIAM J. Control*21(5, pp. 766-803 (1983). - Feedback Semigroups and Cosine Operators for Boundary Feedback Parabolic and Hyperbolic Equations (with R. Triggiani),
*Journal Diff. Equations*47(2), pp. 246-272 (1983). - Stabilization of Neumann Boundary Feedback Parabolic Equations: The Case of Trace in the Feedback Loop (with R. Triggiani),
*Applied Mathematics and Optimization*10, pp. 307-350 (1983). - Dirichlet Boundary Control Problem for Parabolic Equations with Quadratic Cost: Analyticity and Riccati Feedback Synthesis (with R. Triggiani),
*SIAM J. Control and Optimization*21(1) (1983), pp. 41-67. - Regularity of Hyperbolic Equations Under
*L*2(0,T;*L*2W)) Dirichlet Boundary Terms (with R. Triggiani),*Applied Mathematics and Optimization*10, pp. 275-286 (1983). - Dirichlet Boundary Stabilization of the Wave Equation with Damping Feedback (with R. Triggiani),
*J. Math Anal. and*Appl. 87(1, pp. 112-130 (1983). - Ritz-Galerkin Approximation of Time-Optimal Boundary Control, SIAM
*Journal Control and Optimization*22(3, pp. 477-499, (1984). - Nondissipative Boundary Stabilization of Hyperbolic Equations with Boundary Observation (with R. Triggiani),
*Journal de Mathematique Pure et Applique*63, pp. 59-80 (1984). - Perturbations of the Spectrum and their Applications to Stabilization of Vibrating Strings, with J.P. McKenna,
*SIAM J. of Mathematical Analysis*15(6 (1984). - Convergence Estimates for Semidiscrete Approximations of Non-Selfadjoint Parabolic Equations,
*SIAM Journal on Numerical Analysis*21(5, pp. 894-908 (1984). - Finite Dimensional Boundary Feedback Control Problems for Linear Infinite Dimensional Systems, with W. Schappacher and W. Desh,
*Israel Journal of Mathematics*51(3) (1985), pp. 177-207. - Finite Rank, Relatively Bounded Perturbations of CO-Semigroups; Part I: Well Posedness and Boundary Feedback Hyperbolic Dynamics (with R. Triggiani),
*Annali Scuola Normale Superiore di Pisa*XII(4 (1985). - Approximations of Riccati Equations for Abstract Boundary Control Problems - Applications to Hyperbolic Systems,
*Numerical Functional Analysis and Optimization*8(3-4, pp. 207-243 (1985). - Riccati Equations for Hyperbolic Partial Differential with
*L*2[0,T;*L*2W) ] Dirichlet Boundary Terms (with R. Triggiani),*SIAM Journal on Control*24(5, pp. 884-926 (1986). - Riccati Equations for Nonsymmetric and Nondissipative Hyperbolic Systems, with S. Chang, J.
*Math. Analysis and Applications*116(2, pp. 378-414 (1986). - Finite Rank, Relatively Bounded Perturbations of C0-Semigroups; Part II: Spectrum Allocation and Riesz Basis in Parabolic and Hyperbolic Feedback Systems (with R. Triggiani),
*Ann. Matem. Pura and Applic. IV*CXLIH, pp. 47-100 (1986). - Non-Homogeneous Boundary Value Problems for Second Order Hyperbolic Operators, with J. L. Lions and R. Triggiani,
*Journal de Mathematique Pure et Applique*65, pp. 149-192 (1986). - Galerkin Approximations of Abstract Parabolic Boundary Value Problems with 'Rough' Boundary Data -
*Lp*Theory,*Math of Computations*47(175) (July 1986), pp. 55-75. - A Direct Study of Riccati Equations Arising in Hyperbolic Boundary Control Problems, with G. DaPrato and R. Triggiani,
*Journal of Differential Equations*64(1, pp. 26-47 (1986). - Regulator Problems for Parabolic Equations with Dirichlet Boundary Control; Riccati's Feedback Synthesis, Regularity, Galerkin Approximations, Part I (with R. Triggiani),
*J. Appl. Math. and Optimization*16, pp. 147-168 (1987). - Regulator Problems for Parabolic Equations with Dirichlet Boundary Control; Riccati's Feedback Synthesis, Regularity, Galerkin Approximations, Part II (with R. Triggiani),
*J. Appl. Math. and Optimization*16, pp. 187-217 (1987). - Uniform Exponential Energy Decay in a Bounded Region with
*L*2(0,T;*L*2W)) Feedback Control in the Dirichlet Boundary Conditions (with R. Triggiani),*J. Diff. Eqn.*66(3) (1987), pp. 340-390. - Exact Controllability of the Euler-Bemoulli's Equations with L2M control Only in the Dirichlet Boundary Conditions (with R. Triggiani),
*Atti della Accademia Nazionale dei Lincei Rendiconti Classe di Scienze, fisiche, mathematiche e naturali*LYXXI, pp. 35-42, (1987). - A Lifting Theorem for the Time Regularity of Solutions to Abstract Equations with Unbounded Operators and Applications to Hyperbolic Equations (with R. Triggiani),
*Proceedings of AMS*, 104(3) (1988), pp. 745-755. - Exact Controllability of the Euler-Bernoulli Equations with Controls in the Dirichlet and Neumann Boundary Conditions -A Nonconservative Case (with R. Triggiani),
*SIAM J. on Control*27(2) (1989), pp. 330-374. - Regularity Theory for a Class of Nonbomogeneous Euler-Bernoulli Equations: A Cosine Operator Approach (with R. Triggiani),
*Bullettino Unione Matematica Italiana*, 7-2B, 1988, pp. 199-228. - Regularity and Strong Convergence of a Variational Approximation to Nonhomogeneous Dirichlet Hyperbolic Boundary Value Problems, with J. Sokolowski,
*SIAM Journal of Mathematical Analysis*19(3) (1988), pp. 528-540. - Boundary Stabilization of Hyperbolic and Parabolic Equations with Nonlinearly Perturbed Boundary Conditions,
*J. Diff. Eqn.*75(1) (1988), pp. 53-87. - Trace Regularity Results for Wave Equation with Homogenous Neumann Boundary Conditions and Compactly Supported Data (with R. Triggiani),
*Journal of Mathematical Analysis and Applications*141(1) (1989), pp. 49-71. - Algebraic Riccati Equations with Non-Smooth Observations Arising in Hyperbolic and Petrovsky Type Equations, with F. Flandoli and R. Triggiani,
*Annali di Mathemetica Pura et Applicata, (IV)*1989 CLIII, pp. 307-382. - Exact Boundary Controllability for the Wave Equation with Neumann Boundary Control (with R. Triggiani),
*Applied Mathematics and Optimization*19(3, pp. 243-291, 1989. - Differentiability and Convergence Rates of Approximating Semigroups for Retarded Functional Differential Equations, with A. Manitius,
*SIAM J. on Numerical Analysis,*25(4) (1988), pp. 883-907. - Semidiscrete Approximations of Hyperbolic Boundary Value Problems with Nonhomogeneous Dirichlet Boundary Conditions, with J. Sokolowski,
*SIAM Journal of Mathematical Analysis*20(6) (1989), pp. 1366-1387. - Exact Controllability of the Euler-Bernoulli Equation with Boundary Controls for Displacement and Moment (with R. Triggiani),
*Journal Mathematical Analysis and Applications*146(1), (1990), pp. 1-33. - Sensitivity Analysis of Control Constrained Optimal Control Problems for Wave Equations, with J. Sokotowski,
*SIAM J. on Control*29(5) (1991), pp. 1128-1149. - Sharp Regularity Results for Second Order Hyperbolic Equations of Neumann Type (with R. Triggiani),
*Annali di Matemetica Pura et Applicata, (IV)*CLVII (1990), pp. 285-367. - The Wave Equation with Nonlinear Boundary Conditions, with A. Stahel,
*Nonlinear Analysis, Theory and Applications*15(1) (1990), pp. 39-58. - Stabilization of Wave and Plate-like Equations with Nonlinear Dissipation on the Boundary,
*Journal of Differential Equations*79(2) (1989), pp. 340-381. - Stabilization of the Semilinear Wave Equation with Viscous Damping,
*Journal of Differential Equations*86(1) (1990), pp. 73-87. - Asymptotic Behavior of the Solutions of the Kirkhoff plate with Nonlinear Dissipation in the Bending Moments and Shear Forces,
*Journal of Applied Mathematics & Optimization*21 (1990), pp. 167-189. - Exact Controllability for Semilinear Waves and Plates, (with R. Triggiani).
*Journal of Applied Mathematics & Optimization,*23(2) (1991), pp. 109-155. - Approximations of solutions to infinite dimensional Algebraic Riccati Equations with unbounded input operators,
*Numerical Functional Analysis and Optimization*, 11, (1990), pp. 303-378. - Approximation theory for Algebraic Riccati equations with unbounded input operators: The case of analytic semigroups, (with R. Triggiani),
*Mathematics and Computations*57(196, (199 1), pp. 639-662. - Uniform exponential energy decay of wave equations in a bounded region - without any geometric conditions, (with R. Triggiani).
*Journal of Applied Mathematics & Optimization*25, No. 2, (1992), pp. 189-224. - Semidiscrete Approximations of Parabolic Boundary Value Problems with Nonsmooth Boundary Date, (with G. Choudoury),
*Numerical Functional Analysis and Optimization*, 12(5,6 (1991), pp. 463-487. - Exact controllability and uniform stabilization of Euler-Bernoulli Equations with boundary control only in Aw (with R. Triggiani),
*Bull. Unione Math. Italiana*(7) 5-B, (1991), pp. 665-702. - Regularity theory of hyperbolic equations with non-homogeneous Neumann boundary conditions, Part II: General boundary data, with R. Triggiani)
*Journal Differential Equations*94 (1991), pp. 112-164. - Exponential stabilization of hyperbolic systems with nonlinear, unbounded perturbation -Riccati operator approach,
*Applicable Analysis*42 (1991), pp. 243-261. - Exact controllability and uniform stabilization of Kirchoff plates with boundary control only on Awl, and homogeneous boundary displacement (with R. Triggiani),
*Journal Differential Equations*, 93(1) (1991), pp. 62-101. - Convergence rates for the approximations of the solutions to algebraic Riccati Equations with unbounded coefficients -Case of analytic semigroups,
*Numerische Mathematik*63 (1992), pp. 357-390. - Differential Riccati equations with unbounded coefficients: applications to boundary control/boundary observation hyperbolic problems (with R. Triggiani),
*Journal of Nonlinear Analysis*17(7) (1991), pp. 655-682. - Riccati Differential equations with unbounded coefficients and non-smoothing terminal condition - the case of analytic semi group (with R. Triggiani)
*SIAM J. Math. Analysis*23(2) (1982), pp. 449-481. - Regularization and Finite Element Approximations of the wave equation with Dirichlet boundary data (with P. Neittanmaki and J. Sokotowski)
*Numerical Analysis and Mathematical Modelling*24 (1990), pp. 329-353. - Optimal regularity, exact controllability and uniform stabilization of Shroedinger equation (with R. Triggiani).
*Journal of Differential and Integral Equations*5(3) (1992), pp. 521-535. - Existence of the solutions to Euler-Bernoulli plate model with sernilinear boundary conditions (with M. E. Bradley).
*Control and Cybernetics*3, pp. 28-46 (1990). - Local Exponential stabilization for a nonlinearly perturbed von Karman Plate (with M. E. Bradley).
*Journal of Nonlinear Analysis, Theory and Application*, 18(4) (1992), pp. 333-343. - Negative norm estimates for a fully discrete finite element approximations of the wave-equation with nonhomogeneous
*L*2 -Dirichlet boundary data (with L. Bales),*Computation of Mathematics*, 64(209) (1995), pp. 89-115. - Feedback exact null controllability for unbounded control problems in Hilbert spaces (with S. Chen)
*Journal of Optimization Theory and Applications*74(2) (1992), pp. 191-219. - Global uniform decay rates for the solutions to wave equation with nonlinear boundary conditions.
*Applicable Analysis*47 (1992), 191-212. - Uniform boundary stabilization of semilinear wave equation with nonlinear boundary conditions (with D. Tataru),
*Journal of Differential and Integral Equations*, 6(3) (1993), pp. 507-533. - Exponential decay rates for the solutions of Euler-Bernoulli equations with boundary dissipation occurring in the moments only,
*Journal of Differential Equations*, 95(1) (1992), pp. 169-182. - Algebraic Riccati Equations arising from systems with unbounded input-solution operator: Applications to boundary control problems for wave and plate equations (with R. Triggiani),
*Nonlinear Analysis Theory Methods and Applications*, 20(6) (1993), pp. 658-695. - Galerkin approximations of infinite-dimensional compensators for flexible structures with unbounded control actions,
*Acta Applicandae Mathematica*, 28 (1992), pp. 101-133. - Global decay rates for the solutions to a von Karman plate without geometric conditions (with M. Bradley),
*J. Math. Anal. & Applic.*181(1) (1994), pp. 254-276. - Continuous finite elements in space and time for the nonhomogeneous wave equation (with L. Bales),
*Computers and Mathematics with Applications*27(3) (1994), pp. 91-102. - Sharp trace estimates of solutions to Kirchoff and Euler-Bernoulli equations (with R. Triggiani),
*Applied Mathematics and Optimization*28 (1993), pp. 277-306. - Uniform convergence of the solutions to Riccati Equations arising in boundary/point control problems:
*Stochastic Theory and Adaptive Control, LNCIS*, Springer Verlag (1992), pp. 285-306. - Asymptotic behavior with respect to thickness of boundary stabilizing feedback for the Kirchoff plate (with M. A. Horn),
*Journal of Differential Equations*114(2), pp. 396-433 (1994). - Nonlinear boundary stabilization of a von Karman plate equation (with M. A. Horn), invited paper for Markus Festschrift.
*Differential Equations and Dynamical Systems*152 (1993), 581-605. - Abstract differential equations and nonlinear dispersive systems (with A. Favini, H. Tanabe),
*Differential and Integral Equations*, 6(5) 1993, 995-1008. - Wellposedness and regularity of second order abstract equations arising in hyperbolic-like problems with nonlinear boundary conditions (with A. Favini),
*Osaka Journal of Mathematics*32, pp. 721-752 (1996). - Finite dimensionality of attractors associated with von Karman plate equations and boundary damping,
*Journal of Differential Equations*, 117(5) 1995, 337-389. - Existence and uniqueness of the solutions to second order abstract equations with nonlinear and nonmonotone boundary conditions,
*Nonlinear Analysis*, 23(6), 1994, 797-823. - Global stabilization of a dynamic von Karman plate with nonlinear boundary feedback (with M. A. Horn),
*Applied Mathematics & Optimization*31, pp. 57-84 (1995). - Regularizations and approximations of Algebraic Riccati Equations arising in hyperbolic dynamics (with E. Hendrickson),
*Computational Optimization and Applications*2 (1993), pp. 343-390. - Finite element approximations of compensator design for analytic generators with fully unbounded controls/observations,
*SIAM Journal on Control*33(1), pp. 67-88 (1995). - A robustness result for a von Karman plate (with B. Bradley),
*Kybernetica,*29(3) (1993), 291-304. - Uniform decay of weak solutions to a von Karman plate with nonlinear boundary dissipation (with M. A. Horn), invited paper dedicated to the memory of P. Hess,
*Differential and Integral Equations*7(4), pp. 885-908 (1994). - Input dynamics and nonstandard Riccati Equations (with D. Lukes, L. Pandolfi),
*Journal of Optimization, Theory and Applications*, 84(3) (1995), pp. 549-574. - Compact attractors for von Kannan equations with nonlinear damping,
*Proceedings of Dynamical Systems and Applications*4(1), pp. 5-18 (1994). - A feedback synthesis of boundary control for a plate equation with structural damping (with D. Lukes, L. Ppandolfi),
*Applied Mathematics and Computer Science*4(1), 5-18 (1994). - Global existence, uniqueness and regularity of solutions to a von Karman System with nonlinear boundary dissipation (with A. Favini, M. A. Horn, D. Tataru),
*Integral and Differential Equations,*9(2), 1996, 267-294. - Local and global compact attractors arising in nonlinear elasticity -case if noncompact nonlinearity and nonlinear dissipation,
*Journal of Mathematical Analysis and Applications*196 (1995), pp. 332-360. - Asymptomatic behavior of solutions in nonlinear dynamic elasticity (with W. Heyman),
*Discrete and Continuous Dynamic Systems*. 1(2), 1995, 237-252. - Finite dimensional attractors to von Karman plate model,
*Journal of Mathematical Systems, Estimation and Control.*7(3) (1997), pp. 251-275. - Uniform stabilization of spherical shells by boundary dissipation (with R. Triggiani and V. Valente),
*Advances in Differential Equations*1(4) (1996), pp. 635-674. - Abstract model and sernigroup wellposedness of spherical shells (with R. Triggiani) invited paper for
*Dynamical Systems and Applications*4 (1995), pp. 453-471. - Nonlinear Boundary stabilization of parallely connected Kirchhof plates (with M. A. Horn)
*Dynamics and Control*6, pp. 263-292, 1996. - Finite dimensional approximations of boundary control problems arising in partially observed hyperbolic systems, (with E. Hendrickson), invited paper
*Dynamics of Continuous, Discrete and Impulsive Systems*1, 1995, 101-142. - Finite dimensional attractors for von Karman systems with nonlinear dissipation and noncompact nonlinearity, invited paper for
*Advances in Nonlinear Dynamics, IPD*, Chapter 33, pp. 307-317 (1997). - Strong stability of semigroup arising from a coupled hyperbolic/parabolic system, (with A. Avalos)
*Semigroup Forum*57, pp. 278-292, (1998). - Uniform boundary stabilization of a nonlinear shallow and thin spherical cap (with W. Valente),
*Journal of Mathematical Analysis and Applications*202, pp. 951-994 (1996). - A differential Riccati equations for the active control of a problem in structural acoustics (with A. Avalos)
*JOTA,*91(3), pp. 695-728 (1996). - Convergence of numerical algorithms for the approximations of Riccati equations arising in smart material acoustic structure interactions, (with E. Hendrickson)
*Computational Optimization and Applications*8, No. 1, pp. 73-100 (1997). - Carleman estimates and uniqueness for the system of coupled wave equations (with R. Triggiani),
*ZAMM, Applied Math. Mech.*76 (1996), pp. 277-281. - Abstract model and semigroup well-posedness of spherical shells with boundary dissipation (with R. Triggiani)
*WSSLAA,*4 (1996), pp. 453-471. - A singular control approach to highly damped second-order abstract equations and applications (with L. Pandolfi and R. Triggiani)
*Applied Mathematics and Optimization*36 (1997), pp. 67-107. - Exponential stability of thermoelastic system with free boundary conditions without mechanical dissipation (with G. Avalos)
*SIAM Journal on Mathematical Analysis*29(1) (1998), pp. 155-182. - Exponential stability of thermoelastic system without mechanical dissipation (with G. Avalos)invited paper honoring P.Grisvard.
*Rendiconti Istit. Mat. Univ. Trieste*XXVIII, 1-28, (1997). - Uniform decay rates of solutions to a structural acoustic model with nonlinear dissipation (with G. Avalos),
*Applied Mathematics and Computer Science*8(2) (1998), pp. 101-127. - Uniform stabilization of a full von Karman system with nonlinear boundary feedback
*SIAM J. on Control*36(4) (1998), pp. 1376-1422. - Weak, classical and intermediate solutions to a system of nonlinear elasticity
*Applicable Analysis*68 (1998), pp. l2l-145. - Uniform decay for solutions to nonlinear shells with nonlinear dissipation (with R. Marchand),
*Nonlinear Analysis*30(8) (1997), pp. 5409-5418. - Asymptotic behaviour of solutions to nonlinear shells in a supersonic flow (with W. Heyman),
*Numerical Functional Analysis and Optimization*20(3/4) (1999), pp. 279-300. - Controllability and stabilization of the second order hyperbolic problems with nonconstant coefficients. (with R. Triggiani and P. Yao),
*Nonlinear Analysis, Theory, Methods and Applications*30(1) (1997), pp. 111-122. - Riccati Equations Arising in Acoustic Structure Interactions with Curved Walls (with R. Marchand),
*Dynamics and Control*8 (1998), pp. 269-292. - Exact Boundary Controllability of Nonlinear Shallow Spherical Shell (with M. E. Bradley),
*Mathematical Models and Methods in Applied Sciences*8(6) (1998), pp. 927-955. - Exact Null Controllability of Structurally Damped and Thermoelastic Parabolic Models (with R. Triggiani) invited paper for
*National Academy of Lincei, Rome, Section Mathematics*9(9) (1998), pp. 43-69. - Two Direct Proofs on the Analyticity of the S.C. Semigroup Arising in Abstract Thermoelastic Equations
*Advances in Differential Equations*3(3), pp. 387-416 (1998). - Partially Observed Analytic Systems with Fully Unbounded Actuators and Sensors (with G. Ji).
*Computational Optimization and Applications*11, pp. 111-134 (1998). - Mathematical Control Theory in Structural Acoustic Problems, invited paper based on Baretts Lectures.
*Mathematical Models and Methods in Applied Sciences*8(7) (1998), pp. 1119-1153. - Analyticity and Lack Thereof, of Thermoelastic Sernigroups (with R. Triggiani)
*ESAIM-European Series in Applied and Industrial Mathematics*4, 199-222, 1998. - Lack of time-delay robustness for dynamic stabilization of a structural acoustic model (with G. Avalos and R. Rebarber),
*SIAM J. on Control*37(5) (1999), pp. 1394-1418. - Structural decomposition of thermoelastic: semigroups with rotational forces (with R. Triggiani),
*Semigroup Forum*, 60 (2000), pp. 16-66. - Boundary stabilization of a 3-dimensional structural acoustic model,
*Journal de Mathematiques Pure et Applique*78, pp. 203-232, 1999. - Analyticity of semigroups arising in thermoelastic systems with coupled boundary conditions (with R. Triggiani)
*Abstract and Applied Analysis*3(1-2), pp. 153-169 (1998). - Analyticity of Thermo-elastic semigroups with free boundary conditions (with R. Triggiani),
*Annali di Scuola Normale Superiore*XXVII, 1998. - Uniform decay rates for a full von Kannan system of dynamic thermoelasticity with free boundary conditions and partial dissipation.
*Communications on PDE's*24(9-10), pp. 1801-1849, 1999. - Nonlinear Boundary feedback Stabilization for a Semilinear Kirchhoff Plate with dissipation Acting only via Moments-Limiting Behaviour (with G. Ji)
*Journal Math. Anal. Applications*229, 452-479, 1999. - Finite dimensionality and compactness of attractors for Von Kannan equations with nonlinear dissipation.
*Nonlinear Differential Equations and Applications (NODEA)*, 6, pp. 437-472, 1999. - Boundary Controllability of thermoelastic Plates via the Free Boundary Conditions (with G. Avalos),
*SIAM J. on Control*38, pp. 337-383, 2000. - Optimal Error Estimates for FEM approximations of dynamic nonlinear shells (with R. Marchand)
*Mathematical Modeling and Numerical Analysis -M2AN*34, pp. 63-84, 2000. - Inverse Observability Estimates for second Order Hyperbolic Equations with Variable Coefficients (with R. Triggiani and P. F. Yao),
*Journal Mathematical Analysis and Applications*225 (1999), pp. 13-57. - Exponential decay rates for a full von Karman system of dynamic thermoelasticity (with A. Baddabadellah),
*Journal Differential Equations*160 (2000), pp. 51-93. - Global Solvability and Uniform Decay Rates of Solutions To Quasilinear Equations with Nonlinear Boundary Dissipation (with J. Ong),
*Communications in Partial Differential Equations*24(11 & 12) (1999), pp. 2069-2109. - Sharp Regularity Theory for Elastic and Thermoelastic Kirchoff Equations with Free Boundary Conditions (with R. Triggiani)
*Rocky Mountain Journal,*20, pp. 981-1024, 2000. - A sharp trace result on a thermo-elastic plate equation with coupled hinged/Neumann boundary conditions (with R. Triggiani)
*Continuous and Discrete Dynamical Systems*5(3), pp. 585-598, 1999. - Analyticity, hyperbolicity and uniform stability of semigroups arising in models of composite beams (with S. Hansen)
*Mathematical Models and Methods in Applied Sciences*, 10, pp. 555-580, 2000. - Finite element compensators for thermoelastic systems with boundary controls and point observations (with S. K. Chang and R. Triggiani)
*Numerical Functional Analysis*20(5-6), pp. 419-435, 1999. - Extended Algebraic Riccati equations in the Abstract Hyperbolic Case, (with V. Barbu and R. Triggiani)
*Nonlinear Analysis,*40, pp. 105-129, 2000. - Boundary stabilizability of nonlinear structural acoustic models with thermal effects on the interface (with C. Lebiedzik),
*C.R. Academie Science de Paris,*328, pp. 187-192, 2000. - Exponential Deacy rates For Full Von Karman Thermoelastic System with nonlinear Thermal Coupling (with A. Benabdallah),
*European Society Applied and Industrial Mathematics*, (ESAIM)- Control, Optimization and Calculus of Variations (COCV). 8, pp. 13-38, 2000. - Uniform stabilization of the quasi-linear Kirchhoff wave equation with a nonlinear boundary feedback - invited paper in honor of J. Gutenbaum,
*Control and Cybernetics*, 29(1) (2000), pp. 171-197. - Uniform stability in structural acoustic systems with thermal effects and nonlinear boundary conditions (with C. Lebiedzik)-invited paper for special volume
*Control and Cybernetics*28(3), pp. 557-581, 1999. - Backward uniqueness for thermoelastic plates with rotational forces (with M. Renardy and R. Triggiani),
*Semigroup Forum*62 (2001), pp. 217-242. - Optimization problems for structural acoustic models with thermoelasticity and smart materials
*Discussiones Mathematicae -Differential Inclusions*20, pp. 113-140, 2000. - Wellposedness of a structural acoustic control model with point observation of the pressure (with G. Avalos and R. Rebarber),
*Journal Differential Equations*173 (2001), pp. 40-78. - Uniform decay properties of a model in structural acoustic (with G. Avalos and R. Rebarber),
*Journal de Mathematiques Pure et Appliques*79(10) (2000), pp. 1057-1072. - Exact-approximate boundary reachability for thermoelastic plates under variable thermal coupling (with G. Avalos),
*Inverse Problems*16 (2000), pp. 479-996. - Decay rates of interactive hyperbolic parabolic PDE models with thermal effects on the interface (with C. Lebiedzik),
*Journal of Applied Mathematics and Optimization*42 (2000), pp. 127-167. - Simultaneous exact controllability of thermoelastic plates with variable thermal coefficients and clamped/Dirichlet boundary controls (with M. Eller and R. Triggiani),
*Discrete and Continuous Dynamical Systems*7(2) (2001), pp. 283-302. - Asymptotic behaviour of nonlinear structural acoustic interactions with thermal effects on the interface (with C. Lebiedzik)
*Nonlinear Analysis*, 49, pp. 703-735, 2002. - Simultaneous exact-approximate boundary controllability of thermo-elastic plates with variable thermal coefficients and moment control (with M. Eller and R. Triggiani).
*Journal Mathematical Analysis and Applications*, 251, pp. 452-478, 2000. - Unique continuation result for thermoelastic plates (with M. Eller and R. Triggiani),
*Inverse and Ill posed Problems*, 9(2) (2001), pp. 109-148. - Factor spaces and implications on Kirchhoff equations with clamped boundary conditions (with R. Triggiani),
*Abstract and Applied Analysis*, 6(8) (2002). - Singular estimates and uniform stability of coupled systems of hyperbolic/parabolic PDE's (with F. Bucci and R. Triggiani),
*Abstract and Applied Analysis*71 (2002), 169-237. - Uniform stabilization of a shallow shell model with nonlinear boundary feedback (with R. Triggiani),
*Journal Mathematical Analysis Applications*269 (2002), 642-688. - Hadamard wellposedness of weak solutions in nonlinear dynamic elasticity-full von Karman systems (with H. Koch),
*Evolution Equations, Semigroups, and Functional Analysis*, Vol. 50 in Progress in Nonlinear Differential Equations, Birkhäuser, pp. 197-217, 2002. - Optimal regularity of elastic and thermoelastic Kirchhoff plates with clamped boundary control (with R. Triggiani),
*Proceedings of Oberwolfach Conference on Optimal Control of Complex Structures*, June 2000 ISNM, Birkhäuser, 130, pp. 171-182, 2001. - On the attractor for a semilinear wave equation with critical exponent and nonlinear boundary dissipation (with I. Chueshov and M. Eller),
*Communications on Partial Differential Equations*27 (2002), 1901-1951. - Optimal control and differential Riccati equations under singular estimates for
*eAtB*in the absence of analyticity (with R. Triggiani),*Advances in Dynamics and Control*, CRC Press, pp. 271-301, 2004. - Exact boundary controllability of a hybrid PDE system arising in structural acoustic modeling (with G. Avalos),
*Advances in Dynamics and Control*, CRC Press, pp. 155-175, 2004. - Finite dimensionality and regularity of attractors for a 2-d semilinear wave equation with nonlinear dissipation (with A. Ruzmaikina),
*Journal Mathematical Analysis and Applications*, 270, pp. 16-50, 2002. - Strong stability of elastic control systems with dissipative saturating feedback (with T. Seidman),
*Systems and Control Letters*, special volume dedicated to memory of J. L. Lions, 48, pp. 243-352, 2003. - Sharp regularity of the second time derivative
*wtt*to solutions of Kirchhoff equations with clamped boundary conditions (with R. Triggiani),*Applied Mathematics and Computer Science*, 11 (2001), pp. 753-773. - The dynamical Lame system: regularity of solutions, boundary controllability and boundary continuation data (with M. Belishev),
*ESAIM: Calculus of Variations*, to appear in a special volume dedicated to memory of J. L. Lions 8 (2002), pp. 143-167. - Uniform stability in structural acoustic models with flexible curved walls (with J. Cagnol, C. Lebiedzik, J. P. Zolesio),
*Journal Differential Equations*186 (2002), pp. 88-121. - Exponential decay rates for structural acoustic model with an overdamping at the interface and boundary layer dissipation (with F. Bucci),
*Applicable Analysis*7 (2002), pp. 169-237. - Inertial manifolds for Von Karman Evolutions (with I. Chueshov),
*Journal of Applied Mathematics and Optimization*, special volume dedicated to J. L. Lions 46 (2002), pp. 179-206. - Exact controllability of structural acoustic interactions (with G. Avalos),
*Journal de Mathematiques Pure et Applique*82 (2003), pp. 1047-1073. - Carleman estimates for a plate equation on a Riemann manifold with energy level terms (joint with R. Triggiani and P. F. Yao).
*Analysis and Applications*, pp. 199-237, 2003. Kluwer. - The case of differential geometry in the control of single and coupled PDE's, (joint with B. Gulliver, W. Littman and R. Triggiani),
*IMA volume Geometric Methods in Inverse Problems and Control*, pp. 73-181, Springer Verlag, 2003. - Determining functionals for a class of second order in time evolution equations with applications to von Karman equations (with I. Chueshov),
*Analysis and Optimization of Differential Systems*, Kluwer Academic Press, pp. 109-123, 2003. - Wellposedness of optimal control problems for systems with unbounded controls and partially analytic generators.
*Control and Cybernetics*, invited paper, 31(3) (2002), pp. 751-777. - Optimal blowup rates for the minimal energy null control of the strongly damped abstract wave equation (with G. Avalos),
*Annali di Scuola Normale Superiore*, Ser. V, II , pp. 601-616, 2003. *L*2 regularity of the boundary ® operator*B***L*for hyperbolic and Petrowski PDE's (with R. Triggiani).*Abstract and Applied Analysis*19 (2003), pp. 1061-1139.- The operator
*B<sup*< sup="">L</sup*<>*for the wave equation with Dirichlet control (with R. Triggiani),*Abstract and Applied Analysis*7, pp. 625-634, 2004. - Boundary controllability of a coupled wave/Kirchoff system (with G. Avalos and R. Rebarber),
*Systems and Control Letters*, 50, pp. 331-341, 2003. - Global uniqueness, observability and stabilization of non-conservative Schrödinger equations via pointwise Carleman's estimates -Part I
*H*1 estimates (with R. Triggiani and X. Zhang),*Journal of Inverse and Ill Posed Problems*12(1), pp. 1-81, 2004. - Global uniqueness, observability and stabilization of non-conservative Schrödinger equations via pointwise Carleman's estimates, Part II:
*L*2 estimates (with R. Triggiani and X. Zhang),*Journal of Inverse and Ill Posed Problems*11, pp. 43-123, 2004. - Global attractors for von Karman evolutions with a nonlinear boundary dissipation (with I. Chueshov),
*Journal Differential Equations*198 (2004), pp. 196-229. - Mechanical and thermal null controllability of thermoelastic plates and singularity of the associated minimal energy function, (with G. Avalos), invited paper in honor of K. Malanowski,
*Control and Cybernetics*32 (2003), pp. 473-490. - Singular estimates and Riccati theory for thermoelastic plate models with boundary thermal control (with F. Bucci),
*Dynamics of Continuous, Discrete and Impulsive Systems*1 (2004), pp. 545-568. - The null controllability of thermoelastic plates and singularity of the associated minimal energy function (with G. Avalos),
*Journal of Mathematical Analysis and Applications*294 (2004), pp. 34-62. - Attractors for second order equations with nonlinear damping (with I. Chueshov),
*Journal of Dynamics and Differential Equations,*to appear in the special volume dedicated to Shui-Nee Chow (SNC ume) 16 (2004), pp. 469-515. - Asymptotic rates and blowup for the minimal energy function for the null controllability of thermoelastic plates: The free case (with G. Avalos),
*Lecture Notes in Pure and Applied Mathematics*, Marcel Dekker, 242 (2005), pp. 1-20. - Attractors and their structure for semilinear wave equations with nonlinear boundary dissipation (with I. Chueshov and M. Eller), invited paper for
*Buletin de Socieda Paramanese de Matematica*22(1) (2004), pp. 38-57. - Carleman estimates at the
*H1*and*L2*level for nonconservative Schrödinger equations with unobserved Neumann B.C. (with R. Triggiani and X. Zhang),*Archives of Inequalities and Applications*2 (2004), pp. 215-339. - Kolmogorov's entropy for a class of invariant sets and dimension of global attractors for second order equations with nonlinear damping (with I. Chueshov),
*Lecture Notes in Pure and Applied Mathematics*, Marcel Dekker, 242 (2005), pp. 50-71. - Finite dimensionality of the attractor for a semilinear wave equation with nonlinear boundary dissipation (with I. Chueshov and M. Eller),
*Communications in Partial Differential Equations*25(11-12) (2004), pp. 1847-1876. - On nonlinear wave equations with degenerate damping and source terms (with V. Barbu and M. Rammaha),
*Transactions of American Mathematical Society*357 (2005), pp. 2571-2611. - Global exact controllability of semilinear wave equations by a double compactness/uniqueness argument (with R. Triggiani),
*Discrete and Continuous Dynamical Systems*(2005), pp. 556-566. - A trace regularity result for thermoelastic equations with applications to optimal boundary control (with P. Acquistapace and F. Bucci),
*Journal Mathematical Analysis and Applications,*310 (2005), pp. 262-277. - Tangential boundary stabilization of Navier Stokes equation in 3-dimensional bounded domain (with V. Barbu and R. Triggiani),
*Memoirs of American Mathematical Society*, 181 (2005), pp. 1-25. - Exact controllability of finite energy states for an acoustic wave/plate interaction under the influence of bound�ary and localized controls (with G. Avalos),
*Advances in Differential Equations*10(8) (2005), pp. 901-930. - Existence and uniqueness of solutions to wave equations with nonlinear degenerate damping and source terms (with V. Barbu and M. Ranunaha),
*Control and Cybernetics*, special volume dedicated to C. Olech, 34(3) (2005). - Optimal boundary control and Riccati theory for abstract dynamics motivated by hybrid systems of PDE's (with P. Acquistapace and F. Bucci),
*Advances in Differential Equations,*10 (2005), pp. 1389-1436. - Abstract settings for tangential boundary stabilization of Navier-Stokes equations by high- and low-gain feedback controllers (with V. Barbu and R. Triggiani),
*Nonlinear Analysis*, 64 (2006), pp. 2704-2747. - Sharp uniform decay lates at the
*L*2(Ω)-level of the Schrödinger equation with nonlinear boundary dissipation,*Journal of Evolutions Equations*, to appear. - Long-time behavior of second-order evolution equations with nonlinear damping (with I. Chueshov),
*Memoirs AMS*, to appear 2008. - Existence, uniqueness of weak solutions and global attractors for a class of nonlinear 2D Kirchhoff-Boussineq models (with I. Chueshov),
*Discrete and Continuous Dynamical Systems*15 (2006), pp. 1-34. - Energy decay rates for semilinear wave equation with nonlinear localized damping and source terms (with D. Toundykov),
*Nonlinear Analysis*, 64 (2006), pp. 1757-1797. - Long time dynamics of von Karman semi-flow with nonlinear boundary interior damping (with I. Chueshov),
*JDE*, 233 (2007), 42-86. - Uniqueness and continuous dependence on the initial data for a class of non-linear shallow shell problems (with J. Cagnol, C. Lebiedzik, R. Marchand),
*C. R. Acad. Sci. Paris, ser I*342(9) (2006), pp. 711-716. - Blowup estimates for observability of thermoelastic systems (with T. Seidman),
*Asymptotic Analysis*, 50 (2006), 93-120. - Global attractor to a composite system of nonlinear wave and plate equation (with F. Bucci and I. Chueshov),
*Communications on Pure and Applied Analysis*, 6 (2007), 113-140. - Local exponential stabilization strategies of the Navier Stokes equations,
*D*= 2,3, via feedback stabilization of its linearization (with V. Barbu and R. Triggiani),*Proceedings of Oberwolfach Conference*, Birkhauser-Verlag, 155 (2007), 13-47. - Global attractors for Mindlin-Timoshenko plates and for their Kirchhoff limits (with I. Chueshov), invited paper,
*Milan J. of Mathematics*99 (2006), 1-22. - Blow-up of generalized solutions to wave equations with nonlinear degenerate damping and source terms (with V. Barbu and M. Rammaha),
*Indiana University Mathematics Journal*, 56 (2007), 995-1021. - Hadamard wellposedness for a class of non-linear shallow shell problems (with J. Cagnol, C. Lebiedzik, and R. Marchand),
*Nonlinear Analysis*, 67 (2007), 2452-2484. - Long time dynamics of semilinear wave equation with nonlinear damping and critical exponents (with I. Chueshov),
*Contemporary Mathematics*, AMS, 426 (2007), 153-193. - Gevrey's and trace regularity of a semigroup associated with beam equation and non-monotone boundary conditions (with B. Velinskiy),
*Journal Mathematical Analysis and Applications*332(1) (2007), 137-154. - Riccati equations for the Bolza problem arising in boundary/point control problems governed by semigroups satisfying a singular estimate (with A. Tuffaha),
*Journal of Optimization, Theory and Applications,*136 (2008), 229-246. - Wellposedness and optimal decay rates for wave equations with nonlinear boundary damping-source interaction (with M. Cavalcanti and V. Domingos),
*Journal of Differential Equations*235 (2007), 407-459. - Backward uniqueness in linear thermoelasticity with time and space variable coefficients (with H. Koch),
*Functional Analysis and Evolution Equations*, Gunter Lumer Volume (2007), 389-403. - Existence of the energy level weak solutions for a nonlinear fluid-structure interaction model (with V. Barbu, Z. Grujic, A. Tuffaha),
*AMS Contemporary Mathematics*, 440 (2007), 55-83. - Riccati equations arising in boundary control of fluid structure interactions (with A. Tuffaha),
*Int. Journal of Computer Science and Mathematics*, invited paper for the inaugural issue, 1 (2007), 128-147. - Long term dynamics of semilinear wave equation with nonlinear localized interior damping and a source term of critical exponent (with I. Chueshov and D. Toundykov),
*Discrete and Continuous Dynamical Systems*, 20 (2008), 459-509. - Smoothness of weak solutions to a nonlinear fluid-structure interaction model (with V. Barbu, Z. Grujic, and A. Tuffaha),
*Indiana University Mathematics Journal*, 57(3) (2008), 1173-1207. - Stability of higher-level energy norms of strong solutions to a wave equation with localized nonlinear damping and a nonlinear source term (with D. Toundykov),
*Control and Cybernetics*, invited paper in honor of S. Rolewicz, 36(3) (2007), 681-711. - Attractors and long time behavior of von Karman thermoelastic plates (with I. Chueshov),
*Applied Mathematics and Optimization*, to appear 2008. - Uniqueness of weak solutions for the semilinear wave equations with supercritical boundary/interior sources and damping (with L. Bociu),
*Discrete and Cont. Dyn. Systems*, 22(4) (2008), 835-860. - Regularity of higher energies of wave equation with nonlinear localised damping and a nonlinear source (with D. Toundykov),
*Nonlinear Analysis*, 69 (2008), 898-910. - Uniform energy decay rates of hyperbolic equations with nonlinear boundary and interior dissipation (with R. Triggiani), invited ppaer for special issue C&C
*Control Journal of Polish Academy of Sciences*, in honor of J. P. Zolesio, Vol. 37, No. 4, pp. 832-966 (2008). - Uniform energy decay for a wave equation with partially supported nonlinear boundary dissipation without growth restrictions (with M. Daoulatli and D. Toundykov),
*Discrete and Continuous Dynamical Systems*, Vol. 2, No. 1, pp. 67-94 (2009). - Linear Hyperbolic and Petrowski type PDE's with continuous boundary control-boundary observation open loop map: Implication on nonlinear boundary stabilization with optimal decay rates (with R. Triggiani), invited paper in memory of L. S. Sobolev,
*Sobolev Spaces, Applications in Mathematical Physics*, Springer Verlag, pp. 187-277 (2008). - Blow-up of weak solutions for the semilinear wave equations with nonlinear boundary a nd interior sources and damping (with L. Bociu), invited paper,
*Applicationes Mathematicae*, Vol. 35, No. 3, pp. 281-304 (2008). - Higher regularity of a coupled-hyperbolic fluid-structure interactive system (with G. Avalos and R. Triggiani),
*Georgian Mathematical Journal*, in honor of J. L. Lions, Vol. 15, No. 3, pp. 403-437 (2008). - Uniform energy decay rates of hyperbolic equations with nonlinear boundary and interior dissipation (with R. Triggiani), invited paper in honor of J. P. Zolesio,
*Control and Cybernetics*, Vol. 37, No. 4, pp. 935-969 (2008). - Existence and exponential decay of solutions to a quasilinear thermoelastic plate system (with S. Maad and A. Sasane),
*Nonlinear Differential Equations (NODEA)*, Vol. 15, pp. 689-715 (2008). - Exact controllability of a 3D piezoelectric body (with B. Miara),
*C.R. Acad. Sci. Paris, Ser. 1*, Vol. 347, pp. 167-172 (2009). - Riccati theory and singular estimates for Bolza control problems arising in linearized fluid structure interactions (with A. Tuffaha),
*Systems and Control Letters*, Vol. 58, pp. 499-509 (2009). - Optimal feedback synthesis for Bolza control problems arising in linearized fluid structure interaction (with A. Tuffaha), Birkhäuser-Verlag,
*Oberwofach*, Vol. 158, pp. 171-190 (2009). - Global attractor for a wave equation with nonlinear localized boundary damping and a source terms of critical exponent (with I. Chueshov and D. Toundykov),
*Journal of Dynamics and Differential Equations*, Vol. 21, pp. 269-314 (2009). - Global existence and exponential decay rates for the Westervelt equation (with B. Kaltenbacher),
*Discrete and Continuous Dynamical Systems*, Vol. 2, No. 3, pp. 503-523 (2009). - Bolza optimal synthesis problem for singular estimate control systems (with A. Tuffaha),
*Control and Cybernetics*, Polish Academy of Sciences, Vol. 38, pp. 1430-1460, 2009. - Optimal boundary control with critical penalization for a PDE model of fluid-solid interactions (with F. Bucci),
*Calculus of Variations and PDE's*, to appear 2009. - Beyond lack of compactness and lack of stability of a coupled parabolic-hyperbolic fluid-structure system (with G. Avalos and R. Triggiani),
*International Series of Numerical Mathematics*, invited paper in honor of Peter Lax, Vol. 158, Birkhäuser Verlag, Basel, Switzerland (2009), pp. 1-33. - Strong stability of nonlinear semigroups with weak dissipation and non-compact resolvent, applications to structural acoustics (with Y. Lu),
*Applicable Analysis*, Vol. 89, Nr. 1 (2010), pp. 87-107. - Regularity of boundary traces for a fluid-solid interaction model (with F. Bucci),
*Discrete and Continuous Dynamical Systems*, Vol. 4, pp. 505-521, 2011. - The fluid-structure interaction model with both control and disturbance at the interface: A game theory problem via an abstract approach (with R. Triggiani and J. Zhang), invided paper for
*Applicable Analysis*, Vol. 90,pp. 961-999, 2011. - Local Hadamard well-posedness for nonlinear wave equations with supercritical sources and damping (with L. Bociu),
*Journal of Differential Equations*249 (2010) pp. 654-683. - Wellposedness and exponential decay for the Westervelt equation with inhomogeneous Dirichlet boundary data (with B. Kaltenbacher and S. Veljovic),
*Progress in Nonlinear Differential Equations and their Applications*, Herbert Amann Festschrift. Springer Basel AG 60 (2011), pp. 357-387. - On global attractor for 2D Kirchhoff-Boussinesq model with supercritical nonlinearity (with I. Chueshov),
*Communications in Partial Differential Equations*36 (2011), pp. 67-99. - Asymptotic stability of finite energy in Navier-Stokes elastic wave interaction (with Y. Lu),
*Semigroup Forum*82 (2011), pp. 61-82. - Sensitivity analysis of hyperbolic optimal control problems (with A. Kowalewski and J. Sokolowski),
*Computational Optimization and Applications*, Vol. 52(1), pp. 147-181, 2012. - Well-posedness of the Westervelt and the Kuznetsov equation with nonhomogeneous Neumann boundary conditions,
*Discrete and Continuous Dynamical Systems*, Supplement 2011, pp. 763-773, 2011. - Cell protrusions and tethers: A unified approach (with K. Ley and M. Pospieszalska),
*Biophysical Journal*, Vol. 100, pp. 1697-1707, 2011. - Wave equation with damping affecting only a subset of static Wentzell boundary is uniformly stable (with M. Cavalcanti and D. Toundykov),
*Transactions of American Mathematical Society*, Vol. 364(11), pp. 5693-5713, 2012. - Uniform decay rates for the energy of weakly damped defocusing semilinear Schrödinger equations with inhomogenuous Dirichlet boundary control (with V. Kalantarov and T. Ozsari),
*Journal Differential Equations*, Vol. 251(7), pp. 1841-1863, 2011. - The unique continuation property of eigenfunctions to Stokes-Oseen operator is generic with respect to the coefficients (with V. Barbu),
*Nonlinear Analysis*, Vol. 75(12), pp. 4384-4397, 2012. - Generation of bounded semigroups in nonlinear subsonic flow-structure interactions with boundary dissipation (with J. Webster), to appear,
*Mathematical Methods in the Applied Sciences*, published online, December 2011. - An analysis of nonhomogeneous Kuznetsov's equation: Local and global well-posedness; exponential decay (with Barbara Kaltenbacher), to appear (as editors choice),
*Mathematische Nachrichten*, Vol. 285(2-3), pp. 295-321, 2012. - Interface feedback control stabilization of a nonlinear fluid-structure interaction (with Y. Lu),
*Nonlinear Analysis*, Vol. 75, pp. 1449-1460, 2012. - Asymptotic stability of finite energy in Naveri-Stokes elastic wave interaction (with Y. Lu),
*Semigroup Forum*, Vol. 82, pp. 61-82, 2011. - Generation of a semigroup and hidden regularity in nonlinear subsonic flow-structure interactions with absorbing boundary conditions (with I. Chueshov),
*Journal of Abstract Differential Equations and Applications (JADEA)*, Vol. 7(1), pp. 1-27, 2011. - Boundary Control and Hidden Trace Regularity of a Semigroup Associated with a Beam Equation and Non-Dissipative Boundary Conditions (with T. McDevitt and R. Marchand),
*Dynamic Systems and Applications*, Vol. 21, pp. 467-490, 2012. - Well-posedness and exponential decay of the energy in the nonlinear Jordan-Moore-Gibson-Thompson equation arising in high intensity ultrasound (with B. Kaltenbacher and M. Pospieszalska),
*Mathematical Models and Methods in Applied Sciences*, Vol. 22(11), 34 pages, 2012. - Maximal regularity and global existence of solutions to a quasilinear thermoelastic plate system (with M. Wilke) ,
*Discrete and Continuous Dynamical Systems*, Festchrift for J. Goldstein, to appear 2012. - Geometrically constrained stabilization of wave equation with Wentzell boundary conditions (with M. Cavalcanti and D. Toundykov),
*Applicable Analysis*, 91(8), pp. 1427-1452, 2012. - Stabilization of a fluid structure interaction with nonlinear damping (with Y. Lu), invited paper for the Special Issue dedicated to Prof. T. Kaczorek,
*Control and Cybernetics*, 42(1) (2013), pp. 155-181. - Well-posedness and long time behavior in nonlinear dissipative hyperbolic-like evolutions with critical exponents (with I. Chueshov), SISSA Lecture Notes, to appear
*AIMS*, 2013. - Smooth attractors of finite dimension for von Karman evolutions with nonlinear frictional damping localized in a boundary layer (with P. Geredeli and J. Webster ),
*Journal Differential Equations*, 254 (2013), pp. 1193-1229. - A theory of the infinite horizon LQ problem for composite systems of PDEs with boundary control (with P. Acquistapace and F. BuccI), to appear in
*SIAM J. Math. Analysis.* - Evolution semigroups in supersonic flow-plate interactions (with I. Chueshov and J. Webster), to appear
*Journal Differential Equations*, 254 (2013), pp. 1741-1773. - On well-posedness for a free boundary fluid-structure model (with M. Ignatowa, I. Kukavica and A. Tuffaha),
*Journal of Mathematical Physics*, 53 (2013). - Note on intrinsic decay rates for abstract wave equations with memory (with S. Messaoudi amd M. Mustafa),
*Journal of Mathematical Physics*, 54 (2013). - Asymptotic analysis and upper semicontinuity with respect to rotational inertia of attractors to von Karman plates with geometrically localized dissipation and critical nonlinearity (with P. Geredeli),
*Nonlinear Analysis*, 2013.