Edit Profile (opens in new tab) Triggiani, Roberto Co-Author Distance Author ID: triggiani.roberto Published as: Triggiani, Roberto; Triggiani, R. Homepage: http://pi.math.virginia.edu/Faculty/Triggiani/ External Links: MGP · dblp · GND Documents Indexed: 273 Publications since 1974, including 7 Books 6 Contributions as Editor Co-Authors: 58 Co-Authors with 191 Joint Publications 2,105 Co-Co-Authors all top 5 Co-Authors 81 single-authored 135 Lasiecka, Irena 14 Avalos, George 9 Liu, Shitao 6 Yao, Pengfei 5 Barbu, Viorel 5 Eller, Matthias M. 5 Priyasad, Buddhika 5 Zhang, Xu 4 Chen, Shuping 4 Zhang, Jing 3 Littman, Walter 3 Manitius, Andrzej Z. 3 Wan, Xiang 2 Bartolomeo, Jerry 2 Favini, Angelo 2 Gulliver, Robert D. II 2 Kukavica, Igor 2 Mahawattege, Rasika 2 McMillan, Christine Alicia 2 Ourada, N. 2 Pandolfi, Luciano 2 Valente, Vanda 1 Ancona, Fabio 1 Balakrishnan, Alampallam Venkatachalaiyer 1 Bensoussan, Alain 1 Bongarti, Marcelo 1 Bucci, Francesca 1 Camurdan, Mehmet C. 1 Da Prato, Giuseppe 1 Đinh Nho Hào 1 Flandoli, Franco 1 Hasanoǧlu, Alemdar 1 Hofmann, Bernd 1 Imanuvilov, Oleg Yu. 1 Kabanikhin, Sergeĭ Igorevich 1 Kallianpur, Gopinath 1 Kaltenbacher, Barbara 1 Lebiedzik, Catherine Geraldine 1 Lesnic, Daniel 1 Leugering, Günter 1 Lions, Jacques-Louis 1 Lukes, Dahlard L. 1 Maksimov, Vyacheslav Ivanovich 1 Marchand, Richard J. 1 McMillan, C. M. 1 Mitter, Sanjoy K. 1 Pickalov, Valery V. 1 Renardy, Michael 1 Sacks, Paul E. 1 Shishlenin, Maxim Aleksandrovich 1 Taylor, Stephen W. 1 Temam, Roger Meyer 1 Tuffaha, Amjad M. 1 Wang, Yanfei 1 Webster, Justin T. 1 Xu, Xiangjin 1 Yagola, Anatoliĭ Grigor’evich 1 Zhang, Bingyu 1 Zhang, Zhifei all top 5 Serials 23 Applied Mathematics and Optimization 15 Journal of Mathematical Analysis and Applications 12 Journal of Differential Equations 9 SIAM Journal on Control and Optimization 8 Journal of Inverse and Ill-Posed Problems 7 Differential and Integral Equations 7 Discrete and Continuous Dynamical Systems 7 Evolution Equations and Control Theory 6 Applicable Analysis 6 Control and Cybernetics 6 Abstract and Applied Analysis 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Annali di Matematica Pura ed Applicata. Serie Quarta 4 Proceedings of the American Mathematical Society 4 Advances in Differential Equations 4 Encyclopedia of Mathematics and Its Applications 4 Nonlinear Analysis. Theory, Methods & Applications 3 Semigroup Forum 3 Applied Mathematics Letters 3 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 3 Atti della Accademia Nazionale dei Lincei. Serie Ottava. Rendiconti. Classe di Scienze Fisiche, Matematiche e Naturali 3 SIAM Journal on Mathematical Analysis 3 Journal of Evolution Equations 3 Discrete and Continuous Dynamical Systems. Series B 3 Boletim da Sociedade Paranaense de Matemática. Terceira Série 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 2 Journal of Optimization Theory and Applications 2 Numerical Functional Analysis and Optimization 2 Bollettino della Unione Matemàtica Italiana. Serie VII. B 2 International Journal of Applied Mathematics and Computer Science 2 Contemporary Mathematics 2 Lecture Notes in Control and Information Sciences 2 Discrete and Continuous Dynamical Systems. Series S 1 Archive for Rational Mechanics and Analysis 1 Mathematical Methods in the Applied Sciences 1 Rocky Mountain Journal of Mathematics 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Mathematics of Computation 1 Annales des Sciences Mathématiques du Québec 1 IEEE Transactions on Automatic Control 1 Indiana University Mathematics Journal 1 Kyungpook Mathematical Journal 1 Memoirs of the American Mathematical Society 1 Pacific Journal of Mathematics 1 Rendiconti dell’Istituto di Matematica dell’Università di Trieste 1 Transactions of the American Mathematical Society 1 Chinese Annals of Mathematics. Series B 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Applicationes Mathematicae 1 Georgian Mathematical Journal 1 Matemática Contemporânea 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 Nonlinear Analysis. Real World Applications 1 Communications on Pure and Applied Analysis 1 Archives of Inequalities and Applications 1 Operations-Research-Verfahren 1 Lecture Notes in Pure and Applied Mathematics 1 Oberwolfach Seminars 1 The Open Applied Mathematics Journal 1 Set-Valued and Variational Analysis 1 Open Mathematics all top 5 Fields 187 Partial differential equations (35-XX) 162 Systems theory; control (93-XX) 65 Calculus of variations and optimal control; optimization (49-XX) 57 Mechanics of deformable solids (74-XX) 52 Operator theory (47-XX) 25 Fluid mechanics (76-XX) 9 Ordinary differential equations (34-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Functional analysis (46-XX) 5 General and overarching topics; collections (00-XX) 5 Numerical analysis (65-XX) 4 History and biography (01-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Probability theory and stochastic processes (60-XX) 1 Integral equations (45-XX) 1 Differential geometry (53-XX) 1 Mechanics of particles and systems (70-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 238 Publications have been cited 4,624 times in 2,130 Documents Cited by ▼ Year ▼ Control theory for partial differential equations: continuous and approximation theories. 1: Abstract parabolic systems. Zbl 0942.93001 Lasiecka, Irena; Triggiani, Roberto 227 2000 Non homogeneous boundary value problems for second order hyperbolic operators. Zbl 0631.35051 Lasiecka, I.; Lions, J.-L.; Triggiani, R. 205 1986 Proof of extensions of two conjectures on structural damping for elastic systems. Zbl 0633.47025 Chen, Shuping; Triggiani, Roberto 157 1989 On the stabilizability problem in Banach space. Zbl 0326.93023 Triggiani, Roberto 124 1975 Sharp regularity theory for elastic and thermoelastic Kirchhoff equations with free boundary conditions. Zbl 0983.35032 Lasiecka, I.; Triggiani, R. 121 2000 A note on the lack of exact controllability for mild solutions in Banach spaces. Zbl 0354.93014 Triggiani, Roberto 119 1977 Inverse/observability estimates for second-order hyperbolic equations with variable coefficients. Zbl 0931.35022 Lasiecka, I.; Triggiani, R.; Yao, Peng-Fei 118 1999 Uniform stabilization of the wave equation with Dirichlet or Neumann feedback control without geometrical conditions. Zbl 0780.93082 Lasiecka, I.; Triggiani, R. 117 1992 An abstract semigroup approach to the third-order Moore-Gibson-Thompson partial differential equation arising in high-intensity ultrasound: structural decomposition, spectral analysis, exponential stability. Zbl 1255.35047 Marchand, R.; McDevitt, T.; Triggiani, R. 98 2012 Control theory for partial differential equations: continuous and approximation theories. 2: Abstract hyperbolic-like systems over a finite time horizon. Zbl 0961.93003 Lasiecka, Irena; Triggiani, Roberto 89 2000 Differential and algebraic Riccati equations with application to boundary/point control problems: Continuous theory and approximation theory. Zbl 0754.93038 Lasiecka, Irena; Triggiani, Roberto 78 1991 Internal stabilization of Navier-Stokes equations with finite-dimensional controllers. Zbl 1073.76017 Barbu, Viorel; Triggiani, Roberto 77 2004 Exact controllability of semilinear abstract systems with application to waves and plates boundary control problems. Zbl 0729.93023 Lasiecka, I.; Triggiani, R. 76 1991 Exact controllability of the wave equation with Neumann boundary control. Zbl 0666.49012 Lasiecka, I.; Triggiani, R. 74 1989 Gevrey class semigroups arising from elastic systems with gentle dissipation: The case \(0<\alpha<\). Zbl 0718.47009 Chen, Shuping; Triggiani, Roberto 73 1990 Sharp regularity theory for second order hyperbolic equations of Neumann type. I: \(L_ 2\) nonhomogeneous data. Zbl 0742.35015 Lasiecka, I.; Triggiani, R. 69 1990 Tangential boundary stabilization of Navier-Stokes equations. Zbl 1098.35026 Barbu, Viorel; Lasiecka, Irena; Triggiani, Roberto 62 2006 A cosine operator approach to modeling \(L_ 2(\)0,T;\(L_ 2(\)Gammma))- boundary input hyperbolic equations. Zbl 0473.35022 Lasiecka, I.; Triggiani, R. 61 1981 Algebraic Riccati equations with non-smoothing observation arising in hyperbolic and Euler-Bernoulli boundary control problems. Zbl 0674.49004 Flandoli, F.; Lasiecka, I.; Triggiani, R. 60 1988 Uniform exponential energy decay of wave equations in a bounded region with \(L_ 2(0,\infty;L_ 2(\Gamma))\)-feedback control in the Dirichlet boundary conditions. Zbl 0629.93047 Lasiecka, I.; Triggiani, R. 59 1987 Carleman estimates with no lower-order terms for general Riemann wave equations. Global uniqueness and observability in one shot. Zbl 1030.35018 Triggiani, Roberto; Yao, P. F. 59 2002 Abstract settings for tangential boundary stabilization of Navier–Stokes equations by high- and low-gain feedback controllers. Zbl 1098.35025 Barbu, Viorel; Lasiecka, Irena; Triggiani, Roberto 58 2006 Regularity of hyperbolic equations under \(L^ 2(0,T;L_ 2(\Gamma))\)- Dirichlet boundary terms. Zbl 0526.35049 Lasiecka, I.; Triggiani, R. 58 1983 Boundary feedback stabilizability of parabolic equations. Zbl 0434.35016 Triggiani, Roberto 57 1980 Nonconservative wave equations with unobserved Neumann B.C.: Global uniqueness and observability in one shot. Zbl 1096.93503 Lasiecka, I.; Triggiani, R.; Zhang, X. 56 2000 Function space controllability of linear retarded systems: a derivation from abstract operator conditions. Zbl 0442.93009 Manitius, A.; Triggiani, R. 53 1978 Regularity theory of hyperbolic equations with non-homogeneous Neumann boundary conditions. II: General boundary data. Zbl 0776.35030 Lasiecka, I.; Triggiani, R. 52 1991 Characterization of domains of fractional powers of certain operators arising in elastic systems, and applications. Zbl 0717.34066 Chen, Shuping; Triggiani, Roberto 51 1990 Exact boundary controllability on \(L_ 2(\Omega)\times H^{-1}(\Omega)\) of the wave equation with Dirichlet boundary control acting on a portion of the boundary \(\partial \Omega\), and related problems. Zbl 0656.93011 Triggiani, R. 51 1988 The coupled PDE system arising in fluid/structure interaction. I: Explicit semigroup generator and its spectral properties. Zbl 1297.74035 Avalos, G.; Triggiani, R. 50 2007 Wave equation on a bounded domain with boundary dissipation: An operator approach. Zbl 0686.35067 Triggiani, R. 48 1989 Dirichlet boundary control problem for parabolic equations with quadratic cost: analyticity and Riccati’s feedback synthesis. Zbl 0506.93036 Lasiecka, I.; Triggiani, R. 38 1983 Optimal regularity, exact controllability and uniform stabilization of Schrödinger equations with Dirichlet control. Zbl 0784.93032 Lasiecka, I.; Triggiani, R. 38 1992 Higher regularity of a coupled parabolic-hyperbolic fluid-structure interactive system. Zbl 1157.35085 Avalos, George; Lasiecka, Irena; Triggiani, Roberto 37 2008 Global uniqueness, observability and stabilization of nonconservative Schrödinger equations via pointwise Carleman estimates. I: \(H^1(\Omega)\)-estimates. Zbl 1057.35042 Lasiecka, I.; Triggiani, R.; Zhang, X. 35 2004 Semigroup well-posedness in the energy space of a parabolic-hyperbolic coupled Stokes-Lamé PDE system of fluid-structure interaction. Zbl 1179.35010 Avalos, George; Triggiani, Roberto 35 2009 Heat-wave interaction in 2-3 dimensions: optimal rational decay rate. Zbl 1336.35054 Avalos, George; Lasiecka, Irena; Triggiani, Roberto 34 2016 On the lack of exact controllability for mild solutions in Banach spaces. Zbl 0305.93013 Triggiani, Roberto 33 1975 Analyticity, and lack thereof, of thermo-elastic semigroups. Zbl 0906.35018 Lasiecka, I.; Triggiani, R. 33 1998 Controllability and observability in Banach space with bounded operators. Zbl 0268.93007 Triggiani, Roberto 32 1974 Extensions of rank conditions for controllability and observability to Banach spaces and unbounded operators. Zbl 0326.93003 Triggiani, Roberto 32 1976 Rational decay rates for a PDE heat-structure interaction: a frequency domain approach. Zbl 1275.35035 Avalos, George; Triggiani, Roberto 32 2013 Addendum: A note on the lack of exact cotrollability for mild solutions in Banach spaces. Zbl 0426.93013 Triggiani, Roberto 30 1980 Analyticity of thermo-elastic semigroups with free boundary conditions. Zbl 0954.74029 Lasiecka, Irena; Triggiani, Roberto 30 1998 Exact controllability of the Euler-Bernoulli equation with controls in the Dirichlet and Neumann boundary conditions: A nonconservative case. Zbl 0666.49013 Lasiecka, I.; Triggiani, R. 30 1989 Exact controllability and uniform stabilization of Kirchhoff plates with boundary control only on \(\Delta{} w{} _ \Sigma\) and homogeneous boundary displacement. Zbl 0748.93010 Lasiecka, I.; Triggiani, R. 30 1991 Stabilization and structural assignment of Dirichlet boundary feedback parabolic equations. Zbl 0518.93046 Lasiecka, I.; Triggiani, R. 29 1983 Riccati equations for hyperbolic partial differential equations with \(L_ 2(0,T;L_ 2(\Gamma))\)-Dirichlet boundary terms. Zbl 0788.49031 Lasiecka, I.; Triggiani, R. 28 1986 The case for differential geometry in the control of single and coupled PDEs: the structural acoustic chamber. Zbl 1067.35014 Gulliver, R.; Lasiecka, I.; Littman, W.; Triggiani, R. 27 2003 Sharp trace estimates of solutions to Kirchhoff and Euler-Bernoulli equations. Zbl 0789.35155 Lasiecka, I.; Triggiani, R. 26 1993 Analyticity of thermo-elastic semigroups with coupled hinged/Neumann boundary conditions. Zbl 0973.35184 Lasiecka, Irena; Triggiani, Roberto 25 1998 Boundary feedback stabilization of a coupled parabolic-hyperbolic Stokes-Lamé PDE system. Zbl 1239.74022 Avalos, George; Triggiani, Roberto 25 2009 Lack of uniform stabilization for noncontractive semigroups under compact perturbation. Zbl 0671.47036 Triggiani, R. 24 1989 Well-posedness and sharp uniform decay rates at the \(L_{2}(\Omega)\)-level of the Schrödinger equation with nonlinear boundary dissipation. Zbl 1113.35027 Lasiecka, Irena; Triggiani, Roberto 24 2006 Uniform stabilization of a coupled PDE system arising in fluid-structure interaction with boundary dissipation at the interface. Zbl 1158.35320 Avalos, George; Triggiani, Roberto 24 2008 Exact null controllability of structurally damped and thermoelastic parabolic models. Zbl 0935.93010 Lasiecka, Irena; Triggiani, Roberto 23 1998 \(L_2(\Sigma)\)-regularity of the boundary to boundary operator \(B^*L\) for hyperbolic and Petrowski PDEs. Zbl 1064.35100 Lasiecka, I.; Triggiani, R. 23 2003 Global uniqueness, observability and stabilization of nonconservative Schrödinger equations via pointwise Carleman estimates. II: \(L_2(\Omega)\)-estimates. Zbl 1061.35170 Lasiecka, I.; Triggiani, R.; Zhang, X. 23 2004 The regulator problem for parabolic equations with Dirichlet boundary control. I: Riccati’s feedback synthesis and regularity of optimal solution. Zbl 0639.49002 Lasiecka, I.; Triggiani, R. 22 1987 Carleman estimates and exact boundary controllability for a system of coupled, nonconservative second-order hyperbolic equations. Zbl 0881.35015 Lasiecka, Irena; Triggiani, Roberto 22 1997 Two direct proofs on the analyticity of the S. C. semigroup arising in abstract thermo-elastic equations. Zbl 0949.35135 Lasiecka, Irena; Triggiani, Roberto 21 1998 A lifting theorem for the time regularity of solutions to abstract equations with unbounded operators and applications to hyperbolic equations. Zbl 0699.47034 Lasiecka, I.; Triggiani, R. 21 1988 Fluid-structure interaction with and without internal dissipation of the structure: a contrast study in stability. Zbl 1277.35045 Avalos, George; Triggiani, Roberto 21 2013 Recent advances in regularity of second-order hyperbolic mixed problems, and applications. Zbl 0807.35080 Lasiecka, I.; Triggiani, R. 20 1994 Numerical approximations of algebraic Riccati equations for abstract systems modelled by analytic semigroups, and applications. Zbl 0735.65043 Lasiecka, I.; Triggiani, R. 20 1991 Min-max game theory and algebraic Riccati equations for boundary control problems with continuous input-solution map. II: The general case. Zbl 0876.49007 McMillan, C.; Triggiani, R. 18 1994 Stabilization of Neumann boundary feedback of parabolic equations: The case of trace in the feedback loop. Zbl 0524.93052 Lasiecka, I.; Triggiani, R. 18 1983 Mathematical theory of evolutionary fluid-flow structure interactions. Zbl 1403.35005 Kaltenbacher, Barbara; Kukavica, Igor; Lasiecka, Irena; Triggiani, Roberto; Tuffaha, Amjad; Webster, Justin T. 17 2018 On the relationship between first and second order controllable systems in Banach spaces. Zbl 0395.93012 Triggiani, Roberto 17 1978 A direct study of the Riccati equation arising in hyperbolic boundary control problems. Zbl 0601.49003 Da Prato, G.; Lasiecka, I.; Triggiani, R. 17 1986 Exact controllability of the Euler-Bernoulli equation with boundary controls for displacement and moment. Zbl 0694.49026 Lasiecka, I.; Triggiani, R. 17 1990 Trace regularity of the solutions of the wave equation with homogeneous Neumann boundary conditions and data supported away from the boundary. Zbl 0686.35029 Lasiecka, I.; Triggiani, R. 17 1989 Structural decomposition of thermo-elastic semigroups with rotational forces. Zbl 0990.74034 Lasiecka, Irena; Triggiani, Roberto 15 2000 Exact controllability for second-order hyperbolic equations with variable coefficient-principal part and first-order terms. Zbl 0904.35045 Lasiecka, I.; Triggiani, R.; Yao, P. F. 15 1997 Stabilization to an equilibrium of the Navier-Stokes equations with tangential action of feedback controllers. Zbl 1320.35261 Lasiecka, Irena; Triggiani, Roberto 14 2015 The regulator problem for parabolic equations with Dirichlet boundary control. II: Galerkin approximation. Zbl 0652.49026 Lasiecka, I.; Triggiani, R. 14 1987 Unique continuation from an arbitrary interior subdomain of the variable-coefficient Oseen equation. Zbl 1181.35034 Triggiani, Roberto 14 2009 Pointwise Carleman estimates, global uniqueness, observability, and stabilization for Schrödinger equations on Riemannian manifolds at the \(H^1(\Omega)\)-level. Zbl 1130.35022 Triggiani, Roberto; Xu, Xiangjin 14 2007 Well-posedness and regularity of boundary feedback parabolic systems. Zbl 0438.35042 Triggiani, Roberto 13 1980 Uniform stabilization of a shallow shell model with nonlinear boundary feedbacks. Zbl 1067.74044 Lasiecka, Irena; Triggiani, Roberto 13 2002 Regularity theory for a class of nonhomogeneous Euler-Bernoulli equations: A cosine operator approach. Zbl 0685.35029 Lasiecka, I.; Triggiani, R. 13 1989 Optimal control and differential Riccati equations under singular estimates for \(e^{At}B\) in the absence of analyticity. Zbl 1066.93031 Lasiecka, Irena; Triggiani, Roberto 13 2004 Uniform stability of nonlinear thermoelastic plates with free boundary conditions. Zbl 0949.74035 Avalos, George; Lasiecka, Irena; Triggiani, Roberto 12 1999 Extended algebraic Riccati equations in the abstract hyperbolic case. Zbl 0961.49003 Barbu, V.; Lasiecka, I.; Triggiani, R. 12 2000 Heat-viscoelastic plate interaction: analyticity, spectral analysis, exponential decay. Zbl 1516.35093 Triggiani, Roberto; Zhang, Jing 12 2018 Local exponential stabilization strategies of the Navier-Stokes equations, \(d=2,3\), via feedback stabilization of its linearization. Zbl 1239.93094 Barbu, Viorel; Lasiecka, Irena; Triggiani, Roberto 12 2007 Lack of exact controllability for wave and plate equations with finitely many boundary controls. Zbl 0743.35039 Triggiani, R. 12 1991 Global uniqueness and stability in determining the damping and potential coefficients of an inverse hyperbolic problem. Zbl 1226.35087 Liu, Shitao; Triggiani, Roberto 12 2011 Optimal estimates of norms of fast controls in exact null controllability of two non-classical abstract parabolic systems. Zbl 1175.93044 Triggiani, R. 12 2003 Heat-structure interaction with viscoelastic damping: analyticity with sharp analytic sector, exponential decay, fractional powers. Zbl 1388.35131 Lasiecka, Irena; Triggiani, Roberto 11 2016 Simultaneous exact/approximate boundary controllability of thermo-elastic plates with variable thermal coefficient and moment control. Zbl 0968.35017 Eller, M.; Lasiecka, I.; Triggiani, R. 11 2000 A heat-viscoelastic structure interaction model with Neumann and Dirichlet boundary control at the interface: optimal regularity, control theoretic implications. Zbl 1346.49005 Triggiani, Roberto 11 2016 Linear independence of boundary traces of eigenfunctions of elliptic and Stokes operators and applications. Zbl 1152.35420 Triggiani, Roberto 11 2008 Exact/approximate controllability of thermoelastic plates with variable thermal coefficients. Zbl 1031.93101 Eller, M.; Lasiecka, I.; Triggiani, R. 10 2001 Carleman estimates and exact boundary controllability for a system of coupled non-conservative Schrödinger equations. Zbl 0894.93021 Triggiani, Roberto 10 1996 The operator \(B^*L\) for the wave equation with Dirichlet control. Zbl 1065.35171 Lasiecka, I.; Triggiani, R. 10 2004 Finite rank, relatively bounded perturbations of semi-groups generators. III: A sharp result on the lack of uniform stabilization. Zbl 0773.47021 Triggiani, R. 10 1990 Regularity of some structurally damped problems with point control and with boundary control. Zbl 0771.93013 Triggiani, R. 10 1991 Unique continuation of boundary over-determined Stokes and Oseen eigenproblems. Zbl 1198.35200 Triggiani, Roberto 10 2009 Stability enhancement of a 2-D linear Navier-Stokes channel flow by a 2-D, wall-normal boundary controller. Zbl 1132.35070 Triggiani, Roberto 10 2007 Luenberger compensator theory for heat-Kelvin-Voigt-damped-structure interaction models with interface/boundary feedback controls. Zbl 1526.93095 Triggiani, Roberto; Wan, Xiang 1 2023 Fluid-plate interaction with Kelvin-Voigt damping and bending moment at the interface: well-posedness, spectral analysis, uniform stability. Zbl 1521.74053 Mahawattege, Rasika; Triggiani, Roberto 1 2023 The SMGT equation from the boundary: regularity and stabilization. Zbl 1487.35148 Bongarti, Marcelo; Lasiecka, Irena; Triggiani, Roberto 4 2022 Uniqueness of the Riccati operator of the non-standard ARE of a third order dynamics with boundary control. Zbl 07673580 Lasiecka, Irena; Triggiani, Roberto 1 2022 Optimal feedback arising in a third-order dynamics with boundary controls and infinite horizon. Zbl 1492.49035 Lasiecka, Irena; Triggiani, Roberto 1 2022 Uniform stabilization of Navier-Stokes equations in critical \(L^q\)-based Sobolev and Besov spaces by finite dimensional interior localized feedback controls. Zbl 1468.49039 Lasiecka, Irena; Priyasad, Buddhika; Triggiani, Roberto 4 2021 Fluid-structure interaction with Kelvin-Voigt damping: analyticity, spectral analysis, exponential decay. Zbl 1485.76030 Mahawattege, Rasika; Triggiani, Roberto 3 2021 Unique continuation properties of over-determined static Boussinesq problems with application to uniform stabilization of dynamic Boussinesq systems. Zbl 1487.35306 Triggiani, Roberto; Wan, Xiang 1 2021 Uniform stabilization of 3D Navier-Stokes equations in low regularity Besov spaces with finite dimensional, tangential-like boundary, localized feedback controllers. Zbl 1468.76022 Lasiecka, Irena; Priyasad, Buddhika; Triggiani, Roberto 1 2021 Uniform stabilization of Boussinesq systems in critical \(\mathbf{L}^q \)-based Sobolev and Besov spaces by finite dimensional interior localized feedback controls. Zbl 1452.35229 Lasiecka, Irena; Priyasad, Buddhika; Triggiani, Roberto 6 2020 Sharp interior and boundary regularity of the SMGTJ-equation with Dirichlet or Neumann boundary control. Zbl 1494.35074 Triggiani, Roberto 5 2020 Heat-viscoelastic plate interaction via bending moment and shear forces operators: analyticity, spectral analysis, exponential decay. Zbl 1447.35320 Triggiani, Roberto 3 2020 Mathematical theory of evolutionary fluid-flow structure interactions. Zbl 1403.35005 Kaltenbacher, Barbara; Kukavica, Igor; Lasiecka, Irena; Triggiani, Roberto; Tuffaha, Amjad; Webster, Justin T. 17 2018 Heat-viscoelastic plate interaction: analyticity, spectral analysis, exponential decay. Zbl 1516.35093 Triggiani, Roberto; Zhang, Jing 12 2018 Domains of fractional powers of the heat-structure operator with viscoelastic damping: regularity and control-theoretic implications. Zbl 1365.35094 Triggiani, Roberto 4 2017 Heat-wave interaction in 2-3 dimensions: optimal rational decay rate. Zbl 1336.35054 Avalos, George; Lasiecka, Irena; Triggiani, Roberto 34 2016 Heat-structure interaction with viscoelastic damping: analyticity with sharp analytic sector, exponential decay, fractional powers. Zbl 1388.35131 Lasiecka, Irena; Triggiani, Roberto 11 2016 A heat-viscoelastic structure interaction model with Neumann and Dirichlet boundary control at the interface: optimal regularity, control theoretic implications. Zbl 1346.49005 Triggiani, Roberto 11 2016 A matrix-valued generator \(\mathcal{A}\) with strong boundary coupling: a critical subspace of \(\mathcal D((-\mathcal{A})^{\frac{1}{2}})\) and \(\mathcal D((-\mathcal{A}^*)^{\frac{1}{2}})\) and implications. Zbl 1353.35216 Triggiani, Roberto 5 2016 Sharp regularity theory of second order hyperbolic equations with Neumann boundary control non-smooth in space. Zbl 1364.35061 Triggiani, Roberto 4 2016 Preface: In memory of A. V. Balakrishnan. Zbl 1341.01041 1 2016 Stabilization to an equilibrium of the Navier-Stokes equations with tangential action of feedback controllers. Zbl 1320.35261 Lasiecka, Irena; Triggiani, Roberto 14 2015 Uniform stabilization with arbitrary decay rates of the Oseen equation by finite-dimensional tangential localized interior and boundary controls. Zbl 1337.93071 Lasiecka, Irena; Triggiani, Roberto 9 2015 Global uniqueness and stability in determining the electric potential coefficient of an inverse problem for Schrödinger equations on Riemannian manifolds. Zbl 1328.35325 Triggiani, Roberto; Zhang, Zhifei 5 2015 Domains of fractional powers of matrix-valued operators: a general approach. Zbl 1360.47009 Lasiecka, Irena; Triggiani, Roberto 5 2015 Inverse problem for a linearized Jordan-Moore-Gibson-Thompson equation. Zbl 1390.35424 Liu, Shitao; Triggiani, Roberto 7 2014 Rational decay rates for a PDE heat-structure interaction: a frequency domain approach. Zbl 1275.35035 Avalos, George; Triggiani, Roberto 32 2013 Fluid-structure interaction with and without internal dissipation of the structure: a contrast study in stability. Zbl 1277.35045 Avalos, George; Triggiani, Roberto 21 2013 An inverse problem for a third order PDE arising in high-intensity ultrasound: global uniqueness and stability by one boundary measurement. Zbl 1278.35267 Liu, Shitao; Triggiani, Roberto 9 2013 Recovering damping and potential coefficients for an inverse non-homogeneous second-order hyperbolic problem via a localized Neumann boundary trace. Zbl 1301.35215 Liu, Shitao; Triggiani, Roberto 6 2013 Min-max game theory for elastic and visco-elastic fluid structure interactions. Zbl 1322.74015 Lasiecka, Irena; Triggiani, Roberto; Zhang, Jing 2 2013 Preface. Zbl 1275.01013 Taylor, Stephen W.; Triggiani, Roberto 1 2013 An abstract semigroup approach to the third-order Moore-Gibson-Thompson partial differential equation arising in high-intensity ultrasound: structural decomposition, spectral analysis, exponential stability. Zbl 1255.35047 Marchand, R.; McDevitt, T.; Triggiani, R. 98 2012 Global uniqueness and stability in determining the damping coefficient of an inverse hyperbolic problem with non-homogeneous Dirichlet B.C. through an additional localized Neumann boundary trace. Zbl 1248.35236 Liu, Shitao; Triggiani, Roberto 6 2012 Global uniqueness and stability in determining the damping and potential coefficients of an inverse hyperbolic problem. Zbl 1226.35087 Liu, Shitao; Triggiani, Roberto 12 2011 Global uniqueness and stability in determining the damping coefficient of an inverse hyperbolic problem with nonhomogeneous Neumann B.C. through an additional Dirichlet boundary trace. Zbl 1230.35144 Liu, Shitao; Triggiani, Roberto 8 2011 Global uniqueness in determining electric potentials for a system of strongly coupled Schrödinger equations with magnetic potential terms. Zbl 1279.35115 Liu, Shitao; Triggiani, Roberto 8 2011 Determining damping and potential coefficients of an inverse problem for a system of two coupled hyperbolic equations. I: Global uniqueness. Zbl 1306.35142 Liu, Shitao; Triggiani, Roberto 3 2011 The fluid-structure interaction model with both control and disturbance at the interface: a game theory problem via an abstract approach. Zbl 1225.35038 Lasiecka, Irena; Triggiani, Roberto; Zhang, Jing 2 2011 Recovering of damping coefficients for a system of coupled wave equations with Neumann boundary conditions: uniqueness and stability. Zbl 1302.35446 Liu, Shitao; Triggiani, Roberto 1 2011 Backwards uniqueness of the \(C_0\)-semigroup associated with a parabolic-hyperbolic Stokes-Lamé partial differential equation system. Zbl 1204.35011 Avalos, George; Triggiani, Roberto 5 2010 Control theory for partial differential equations: continuous and approximation theories. 1: Abstract parabolic systems. Reprint of the 2000 hardback ed. Zbl 1194.93001 Lasiecka, Irena; Triggiani, Roberto 4 2010 Nonlinear exact controllability and nonlinear stabilization of hyperbolic or hyperbolic-like evolution equations. Zbl 1226.35004 Triggiani, Roberto 1 2010 Semigroup well-posedness in the energy space of a parabolic-hyperbolic coupled Stokes-Lamé PDE system of fluid-structure interaction. Zbl 1179.35010 Avalos, George; Triggiani, Roberto 35 2009 Boundary feedback stabilization of a coupled parabolic-hyperbolic Stokes-Lamé PDE system. Zbl 1239.74022 Avalos, George; Triggiani, Roberto 25 2009 Unique continuation from an arbitrary interior subdomain of the variable-coefficient Oseen equation. Zbl 1181.35034 Triggiani, Roberto 14 2009 Unique continuation of boundary over-determined Stokes and Oseen eigenproblems. Zbl 1198.35200 Triggiani, Roberto 10 2009 Coupled parabolic-hyperbolic Stokes-Lamé PDE system: limit behaviour of the resolvent operator on the imaginary axis. Zbl 1194.35052 Avalos, George; Triggiani, Roberto 6 2009 Beyond lack of compactness and lack of stability of a coupled parabolic-hyperbolic fluid-structure system. Zbl 1205.35182 Avalos, George; Lasiecka, Irena; Triggiani, Roberto 5 2009 Optimal regularity and optimal control of a thermoelastic structural acoustic model with point control and clamped boundary conditions. Zbl 1237.49029 Triggiani, R.; Lebiedzik, C. 3 2009 Min-max game theory and non-standard differential Riccati equations under the singular estimate for \(e^{At}B\) and \(e^{At}G\) in the absence of analyticity. Zbl 1202.91033 Triggiani, Roberto; Zhang, Jing 3 2009 Linear hyperbolic and Petrowski type PDEs with continuous boundary control \(\rightarrow \) boundary observation open loop map: Implication on nonlinear boundary stabilization with optimal decay rates. Zbl 1168.35027 Lasiecka, Irena; Triggiani, Roberto 2 2009 Higher regularity of a coupled parabolic-hyperbolic fluid-structure interactive system. Zbl 1157.35085 Avalos, George; Lasiecka, Irena; Triggiani, Roberto 37 2008 Uniform stabilization of a coupled PDE system arising in fluid-structure interaction with boundary dissipation at the interface. Zbl 1158.35320 Avalos, George; Triggiani, Roberto 24 2008 Linear independence of boundary traces of eigenfunctions of elliptic and Stokes operators and applications. Zbl 1152.35420 Triggiani, Roberto 11 2008 Backward uniqueness of the s.c. semigroup arising in parabolic-hyperbolic fluid-structure interaction. Zbl 1158.35300 Avalos, George; Triggiani, Roberto 10 2008 Exact controllability in \(L_2(\Omega)\) of the Schrödinger equation in a Riemannian manifold with \(L_2(\Sigma_1)\)-Neumann boundary control. Zbl 1158.93009 Triggiani, Roberto 9 2008 Uniform energy decay rates of hyperbolic equations with nonlinear boundary and interior dissipation. Zbl 1195.35056 Lasiecka, Irena; Triggiani, Roberto 3 2008 The critical case of clamped thermoelastic systems with interior point control: Optimal interior and boundary regularity results. Zbl 1194.35090 Triggiani, R. 3 2008 The coupled PDE system arising in fluid/structure interaction. I: Explicit semigroup generator and its spectral properties. Zbl 1297.74035 Avalos, G.; Triggiani, R. 50 2007 Pointwise Carleman estimates, global uniqueness, observability, and stabilization for Schrödinger equations on Riemannian manifolds at the \(H^1(\Omega)\)-level. Zbl 1130.35022 Triggiani, Roberto; Xu, Xiangjin 14 2007 Local exponential stabilization strategies of the Navier-Stokes equations, \(d=2,3\), via feedback stabilization of its linearization. Zbl 1239.93094 Barbu, Viorel; Lasiecka, Irena; Triggiani, Roberto 12 2007 Stability enhancement of a 2-D linear Navier-Stokes channel flow by a 2-D, wall-normal boundary controller. Zbl 1132.35070 Triggiani, Roberto 10 2007 Mathematical analysis of PDE systems which govern fluid-structure interactive phenomena. Zbl 1330.74057 Avalos, George; Triggiani, Roberto 8 2007 The role of an \(L_2(\Omega)\)-energy estimate in the theories of uniform stabilization and exact controllability for Schrödinger equations with Neumann boundary control. Zbl 1330.93039 Triggiani, R. 2 2007 Sharp regularity results for hyperbolic-dominated thermoelastic systems with point control. Zbl 1207.35228 Triggiani, R. 2 2007 Sharp regularity of hyperbolic-dominated thermoelastic systems with point control: The clamped case. Zbl 1163.93349 Triggiani, Roberto 1 2007 Tangential boundary stabilization of Navier-Stokes equations. Zbl 1098.35026 Barbu, Viorel; Lasiecka, Irena; Triggiani, Roberto 62 2006 Abstract settings for tangential boundary stabilization of Navier–Stokes equations by high- and low-gain feedback controllers. Zbl 1098.35025 Barbu, Viorel; Lasiecka, Irena; Triggiani, Roberto 58 2006 Well-posedness and sharp uniform decay rates at the \(L_{2}(\Omega)\)-level of the Schrödinger equation with nonlinear boundary dissipation. Zbl 1113.35027 Lasiecka, Irena; Triggiani, Roberto 24 2006 Global exact controllability of semilinear wave equations by a double compactness/uniqueness argument. Zbl 1151.35394 Lasiecka, Irena; Triggiani, Roberto 8 2005 Global exact controllability on \(H^1_{\Gamma_0} (\Omega) x L_2 (\Omega)\) of semilinear wave equations with Neumann \(L_2(0, T; L_2(\Gamma_1))\)-boundary control. Zbl 1118.93015 Triggiani, Roberto 4 2005 Control theory of partial differential equations. Papers of the conference, Washington, D. C., USA, May 30 – June 1, 2003. Zbl 1066.93001 3 2005 The dual algebraic Riccati equations: additional results under isomorphism of the Riccati operator. Zbl 1100.49006 Triggiani, R. 1 2005 Internal stabilization of Navier-Stokes equations with finite-dimensional controllers. Zbl 1073.76017 Barbu, Viorel; Triggiani, Roberto 77 2004 Global uniqueness, observability and stabilization of nonconservative Schrödinger equations via pointwise Carleman estimates. I: \(H^1(\Omega)\)-estimates. Zbl 1057.35042 Lasiecka, I.; Triggiani, R.; Zhang, X. 35 2004 Global uniqueness, observability and stabilization of nonconservative Schrödinger equations via pointwise Carleman estimates. II: \(L_2(\Omega)\)-estimates. Zbl 1061.35170 Lasiecka, I.; Triggiani, R.; Zhang, X. 23 2004 Optimal control and differential Riccati equations under singular estimates for \(e^{At}B\) in the absence of analyticity. Zbl 1066.93031 Lasiecka, Irena; Triggiani, Roberto 13 2004 The operator \(B^*L\) for the wave equation with Dirichlet control. Zbl 1065.35171 Lasiecka, I.; Triggiani, R. 10 2004 Interior and boundary stabilization of Navier-Stokes equations. Zbl 1068.35094 Triggiani, Roberto 2 2004 Backward uniqueness of semigroups arising in coupled partial differential equations systems of structural acoustics. Zbl 1109.35065 Triggiani, R. 1 2004 Carleman estimates at the \(H^1(\Omega)\)- and \(L_2(\Omega)\)-level for nonconservative Schrödinger equations with unobserved Neumann B. C. Zbl 1072.35038 Lasiecka, I.; Triggiani, R.; Zhang, Xu 1 2004 The case for differential geometry in the control of single and coupled PDEs: the structural acoustic chamber. Zbl 1067.35014 Gulliver, R.; Lasiecka, I.; Littman, W.; Triggiani, R. 27 2003 \(L_2(\Sigma)\)-regularity of the boundary to boundary operator \(B^*L\) for hyperbolic and Petrowski PDEs. Zbl 1064.35100 Lasiecka, I.; Triggiani, R. 23 2003 Optimal estimates of norms of fast controls in exact null controllability of two non-classical abstract parabolic systems. Zbl 1175.93044 Triggiani, R. 12 2003 Carleman estimates for a plate equation on a Riemann manifold with energy level terms. Zbl 1057.58019 Lasiecka, I.; Triggiani, R.; Yao, P. F. 7 2003 Nonconservative Schrödinger equations with unobserved Neumann B. C.: Global uniqueness and observability in one shot. Zbl 1111.93304 Lasiecka, I.; Triggiani, R.; Zhang, Xu 4 2003 The coupled PDE system of a composite (Sandwich) beam revisited. Zbl 1121.49024 Triggiani, Roberto 2 2003 Carleman estimates with no lower-order terms for general Riemann wave equations. Global uniqueness and observability in one shot. Zbl 1030.35018 Triggiani, Roberto; Yao, P. F. 59 2002 Uniform stabilization of a shallow shell model with nonlinear boundary feedbacks. Zbl 1067.74044 Lasiecka, Irena; Triggiani, Roberto 13 2002 Singular estimates and uniform stability of coupled systems of hyperbolic/parabolic PDEs. Zbl 1006.35012 Bucci, F.; Lasiecka, I.; Triggiani, R. 7 2002 Optimal control and algebraic Riccati equations under singular estimates for \(e^{At}B\) in the absence of analyticity. I: The stable case. Zbl 1049.49023 Lasiecka, Irena; Triggiani, Roberto 5 2002 Min-max game theory and optimal control with indefinite cost under a singular estimate for \(e^{At}B\) in the absence of analyticity. Zbl 1055.91001 Triggiani, Roberto 2 2002 Optimal regularity of elastic and thermoelastic Kirchhoff plates with clamped boundary control. Zbl 1214.74011 Lasiecka, Irena; Triggiani, Roberto 1 2002 Exact/approximate controllability of thermoelastic plates with variable thermal coefficients. Zbl 1031.93101 Eller, M.; Lasiecka, I.; Triggiani, R. 10 2001 Backward uniqueness for thermoelastic plates with rotational forces. Zbl 1015.74030 Lasiecka, I.; Renardy, M.; Triggiani, R. 9 2001 Unique continuation for over-determined Kirchhoff plate equations and related thermoelastic systems. Zbl 1030.93030 Eller, M.; Lasiecka, I.; Triggiani, R. 7 2001 Simultaneous exact/approximate boundary controllability of thermoelastic plates with variable transmission coefficient. Zbl 0980.74043 Eller, Matthias; Lasiecka, Irena; Triggiani, Roberto 3 2001 Factor spaces and implications of Kirchhoff equations with clamped boundary conditions. Zbl 1006.35018 Lasiecka, Irena; Triggiani, Roberto 3 2001 Control theory for partial differential equations: continuous and approximation theories. 1: Abstract parabolic systems. Zbl 0942.93001 Lasiecka, Irena; Triggiani, Roberto 227 2000 ...and 138 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,906 Authors 145 Lasiecka, Irena 100 Triggiani, Roberto 32 Cavalcanti, Marcelo Moreira 27 Avalos, George 24 Yamamoto, Masahiro 23 Yao, Pengfei 22 Chai, Shugen 22 Domingos Cavalcanti, Valéria Neves 22 Guo, Bao-Zhu 21 Pata, Vittorino 21 Tcheugoué Tébou, Louis Roder 20 Kunisch, Karl 20 Toundykov, Daniel 18 Barbu, Viorel 18 Webster, Justin T. 17 Pandolfi, Luciano 17 Raymond, Jean-Pierre 16 Bezerra, Flank David Morais 16 Curtain, Ruth Frances 16 Oksanen, Lauri 15 Krstić, Miroslav 15 Munteanu, Ionut 15 Quintanilla de Latorre, Ramón 14 Dell’Oro, Filippo 14 Grobbelaar-Van Dalsen, Marié 13 Belishev, Mikhail Igorevitch 13 Bellassoued, Mourad 13 Li, Tatsien 13 Li, Yongxiang 13 Muñoz Rivera, Jaime Edilberto 13 Tuffaha, Amjad M. 13 Xu, Gen-Qi 12 Bociu, Lorena 12 Bucci, Francesca 12 Chueshov, Igor’ Dmitrievich 12 Geredeli, Pelin Guven 12 Liu, Shitao 12 Rodrigues, Sérgio S. 12 Sukavanam, Nagarajan 11 Ammari, Kais 11 Fernández-Cara, Enrique 11 Kian, Yavar 11 Nascimento, Marcelo Jose Dias 11 Nicaise, Serge 11 Said-Houari, Belkacem 11 Zhang, Qiong 10 Balachandran, Krishnan 10 Corrêa, Wellington José 10 Henríquez, Hernán R. 10 Kaltenbacher, Barbara 10 Liu, Zhuangyi 10 Maksimov, Vyacheslav Ivanovich 10 Münch, Arnaud 10 Ning, Zhenhu 10 Rao, Bopeng 10 Rebiai, Salah Eddine 10 Weiss, George 10 Yang, Zhijian 9 Gou, Haide 9 Lassas, Matti J. 9 Lizama, Carlos 9 Muha, Boris 9 Nolasco de Carvalho, Alexandre 9 Pellicer, Marta 9 Rammaha, Mohammad A. 9 Yang, Fengyan 8 Breiten, Tobias 8 Burns, John A. 8 Conti, Monica C. 8 Dabas, Jaydev 8 Dauer, Jerald P. 8 Eller, Matthias M. 8 Ha, Tae Gab 8 Hu, Weiwei 8 Isakov, Victor M. 8 Kumar, Surendra Shashi 8 Li, Qiang 8 Mena, Hermann 8 Mohan, Manil Thankamani 8 Morris, Kirsten A. 8 Nambu, Takao 8 Ouzahra, Mohamed 8 Paunonen, Lassi 8 Racke, Reinhard 8 Takahashi, Takéo 8 Wang, Junmin 8 Wu, Jieqiong 8 Yan, Zuomao 8 Zhang, Zhifei 7 Badra, Mehdi 7 Benner, Peter 7 Chen, Wenhui 7 Cholewa, Jan W. 7 de Hoop, Maarten V. 7 Favini, Angelo 7 Flandoli, Franco 7 Fukuoka, Ryuichi 7 Han, Zhongjie 7 Hao, Jianghao 7 Lenhart, Suzanne M. ...and 1,806 more Authors all top 5 Cited in 318 Serials 172 Journal of Mathematical Analysis and Applications 117 Journal of Differential Equations 90 Applied Mathematics and Optimization 70 Systems & Control Letters 64 Nonlinear Analysis. 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