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Author ID: triggiani.roberto Recent zbMATH articles by "Triggiani, Roberto"
Published as: Triggiani, Roberto; Triggiani, R.
Homepage: http://pi.math.virginia.edu/Faculty/Triggiani/
External Links: MGP · dblp · GND
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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

Publications by Year

Citations contained in zbMATH Open

238 Publications have been cited 4,804 times in 2,183 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
249
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
174
1989
On the stabilizability problem in Banach space. Zbl 0326.93023
Triggiani, Roberto
129
1975
Sharp regularity theory for elastic and thermoelastic Kirchhoff equations with free boundary conditions. Zbl 0983.35032
Lasiecka, I.; Triggiani, R.
123
2000
A note on the lack of exact controllability for mild solutions in Banach spaces. Zbl 0354.93014
Triggiani, Roberto
122
1977
Inverse/observability estimates for second-order hyperbolic equations with variable coefficients. Zbl 0931.35022
Lasiecka, I.; Triggiani, R.; Yao, Peng-Fei
121
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.
100
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
97
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
84
1991
Exact controllability of semilinear abstract systems with application to waves and plates boundary control problems. Zbl 0729.93023
Lasiecka, I.; Triggiani, R.
78
1991
Internal stabilization of Navier-Stokes equations with finite-dimensional controllers. Zbl 1073.76017
Barbu, Viorel; Triggiani, Roberto
77
2004
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.
70
1990
Tangential boundary stabilization of Navier-Stokes equations. Zbl 1098.35026
Barbu, Viorel; Lasiecka, Irena; Triggiani, Roberto
67
2006
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.
62
2002
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
Controllability and observability in Banach space with bounded operators. Zbl 0268.93007
Triggiani, Roberto
61
1974
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
Boundary feedback stabilizability of parabolic equations. Zbl 0434.35016
Triggiani, Roberto
60
1980
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
Regularity of hyperbolic equations under \(L^ 2(0,T;L_ 2(\Gamma))\)- Dirichlet boundary terms. Zbl 0526.35049
Lasiecka, I.; Triggiani, R.
58
1983
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
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.
54
1978
Regularity theory of hyperbolic equations with non-homogeneous Neumann boundary conditions. II: General boundary data. Zbl 0776.35030
Lasiecka, I.; Triggiani, R.
53
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
Higher regularity of a coupled parabolic-hyperbolic fluid-structure interactive system. Zbl 1157.35085
Avalos, George; Lasiecka, Irena; Triggiani, Roberto
39
2008
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
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
36
2009
Proof of two conjectures by G. Chen and D. L. Russell on structural damping for elastic systems. Zbl 0669.34015
Chen, Shuping; Triggiani, Roberto
35
1988
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
Heat-wave interaction in 2-3 dimensions: optimal rational decay rate. Zbl 1336.35054
Avalos, George; Lasiecka, Irena; Triggiani, Roberto
35
2016
On the lack of exact controllability for mild solutions in Banach spaces. Zbl 0305.93013
Triggiani, Roberto
35
1975
Analyticity, and lack thereof, of thermo-elastic semigroups. Zbl 0906.35018
Lasiecka, I.; Triggiani, R.
34
1998
Extensions of rank conditions for controllability and observability to Banach spaces and unbounded operators. Zbl 0326.93003
Triggiani, Roberto
33
1976
Rational decay rates for a PDE heat-structure interaction: a frequency domain approach. Zbl 1275.35035
Avalos, George; Triggiani, Roberto
32
2013
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.
31
1989
Addendum: A note on the lack of exact cotrollability for mild solutions in Banach spaces. Zbl 0426.93013
Triggiani, Roberto
31
1980
Analyticity of thermo-elastic semigroups with free boundary conditions. Zbl 0954.74029
Lasiecka, Irena; Triggiani, Roberto
31
1998
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
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.
28
2003
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
Sharp trace estimates of solutions to Kirchhoff and Euler-Bernoulli equations. Zbl 0789.35155
Lasiecka, I.; Triggiani, R.
26
1993
Lack of uniform stabilization for noncontractive semigroups under compact perturbation. Zbl 0671.47036
Triggiani, R.
25
1989
Analyticity of thermo-elastic semigroups with coupled hinged/Neumann boundary conditions. Zbl 0973.35184
Lasiecka, Irena; Triggiani, Roberto
25
1998
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
25
2008
Boundary feedback stabilization of a coupled parabolic-hyperbolic Stokes-Lamé PDE system. Zbl 1239.74022
Avalos, George; Triggiani, Roberto
25
2009
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 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
\(L_2(\Sigma)\)-regularity of the boundary to boundary operator \(B^*L\) for hyperbolic and Petrowski PDEs. Zbl 1064.35100
Lasiecka, I.; Triggiani, R.
23
2003
Exact null controllability of structurally damped and thermoelastic parabolic models. Zbl 0935.93010
Lasiecka, Irena; Triggiani, Roberto
23
1998
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
Two direct proofs on the analyticity of the S. C. semigroup arising in abstract thermo-elastic equations. Zbl 0949.35135
Lasiecka, Irena; Triggiani, Roberto
22
1998
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
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.
21
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
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
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
Mathematical theory of evolutionary fluid-flow structure interactions. Zbl 1403.35005
Kaltenbacher, Barbara; Kukavica, Igor; Lasiecka, Irena; Triggiani, Roberto; Tuffaha, Amjad; Webster, Justin T.
18
2018
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
Exact controllability of the Euler-Bernoulli equation with boundary controls for displacement and moment. Zbl 0694.49026
Lasiecka, I.; Triggiani, R.
17
1990
A cosine operator approach to modelling boundary input hyperbolic systems. Zbl 0382.93024
Triggiani, Roberto
17
1978
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 for second-order hyperbolic equations with variable coefficient-principal part and first-order terms. Zbl 0904.35045
Lasiecka, I.; Triggiani, R.; Yao, P. F.
16
1997
Structural decomposition of thermo-elastic semigroups with rotational forces. Zbl 0990.74034
Lasiecka, Irena; Triggiani, Roberto
15
2000
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
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
14
2004
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
Uniform stabilization of a shallow shell model with nonlinear boundary feedbacks. Zbl 1067.74044
Lasiecka, Irena; Triggiani, Roberto
14
2002
Regularity theory for a class of nonhomogeneous Euler-Bernoulli equations: A cosine operator approach. Zbl 0685.35029
Lasiecka, I.; Triggiani, R.
13
1989
Well-posedness and regularity of boundary feedback parabolic systems. Zbl 0438.35042
Triggiani, Roberto
13
1980
Heat-viscoelastic plate interaction: analyticity, spectral analysis, exponential decay. Zbl 1516.35093
Triggiani, Roberto; Zhang, Jing
12
2018
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
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
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
Extended algebraic Riccati equations in the abstract hyperbolic case. Zbl 0961.49003
Barbu, V.; Lasiecka, I.; Triggiani, R.
12
2000
Uniform stability of nonlinear thermoelastic plates with free boundary conditions. Zbl 0949.74035
Avalos, George; Lasiecka, Irena; Triggiani, Roberto
12
1999
Lack of exact controllability for wave and plate equations with finitely many boundary controls. Zbl 0743.35039
Triggiani, R.
12
1991
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
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
Carleman estimates and exact boundary controllability for a system of coupled non-conservative Schrödinger equations. Zbl 0894.93021
Triggiani, Roberto
11
1996
Linear independence of boundary traces of eigenfunctions of elliptic and Stokes operators and applications. Zbl 1152.35420
Triggiani, Roberto
11
2008
Stability enhancement of a 2-D linear Navier-Stokes channel flow by a 2-D, wall-normal boundary controller. Zbl 1132.35070
Triggiani, Roberto
11
2007
The operator \(B^*L\) for the wave equation with Dirichlet control. Zbl 1065.35171
Lasiecka, I.; Triggiani, R.
10
2004
Unique continuation of boundary over-determined Stokes and Oseen eigenproblems. Zbl 1198.35200
Triggiani, Roberto
10
2009
Backward uniqueness of the s.c. semigroup arising in parabolic-hyperbolic fluid-structure interaction. Zbl 1158.35300
Avalos, George; Triggiani, Roberto
10
2008
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
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
The SMGT equation from the boundary: regularity and stabilization. Zbl 1487.35148
Bongarti, Marcelo; Lasiecka, Irena; Triggiani, Roberto
4
2022
Optimal feedback arising in a third-order dynamics with boundary controls and infinite horizon. Zbl 1492.49035
Lasiecka, Irena; Triggiani, Roberto
1
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
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
5
2021
Fluid-structure interaction with Kelvin-Voigt damping: analyticity, spectral analysis, exponential decay. Zbl 1485.76030
Mahawattege, Rasika; Triggiani, Roberto
3
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
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 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.
18
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
35
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
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 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
5
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
Domains of fractional powers of matrix-valued operators: a general approach. Zbl 1360.47009
Lasiecka, Irena; Triggiani, Roberto
6
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
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.
100
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
36
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
39
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
25
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
10
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
Uniform energy decay rates of hyperbolic equations with nonlinear boundary and interior dissipation. Zbl 1195.35056
Lasiecka, Irena; Triggiani, Roberto
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
11
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
67
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
14
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
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
Backward uniqueness of semigroups arising in coupled partial differential equations systems of structural acoustics. Zbl 1109.35065
Triggiani, R.
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.
28
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.
62
2002
Uniform stabilization of a shallow shell model with nonlinear boundary feedbacks. Zbl 1067.74044
Lasiecka, Irena; Triggiani, Roberto
14
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
4
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
249
2000
...and 138 more Documents
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Cited by 1,951 Authors

145 Lasiecka, Irena
100 Triggiani, Roberto
34 Cavalcanti, Marcelo Moreira
27 Avalos, George
25 Yamamoto, Masahiro
24 Domingos Cavalcanti, Valéria Neves
23 Yao, Pengfei
22 Chai, Shugen
22 Guo, Bao-Zhu
22 Pata, Vittorino
21 Tcheugoué Tébou, Louis Roder
20 Kunisch, Karl
20 Toundykov, Daniel
18 Barbu, Viorel
18 Pandolfi, Luciano
18 Webster, Justin T.
17 Raymond, Jean-Pierre
16 Bezerra, Flank David Morais
16 Curtain, Ruth Frances
16 Oksanen, Lauri
15 Krstić, Miroslav
15 Li, Tatsien
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, 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 Fernández-Cara, Enrique
12 Geredeli, Pelin Guven
12 Liu, Shitao
12 Rodrigues, Sérgio S.
12 Sukavanam, Nagarajan
11 Ammari, Kais
11 Balachandran, Krishnan
11 Henríquez, Hernán R.
11 Kian, Yavar
11 Maksimov, Vyacheslav Ivanovich
11 Nascimento, Marcelo Jose Dias
11 Nicaise, Serge
11 Rao, Bopeng
11 Said-Houari, Belkacem
11 Yang, Zhijian
11 Zhang, Qiong
10 Corrêa, Wellington José
10 Kaltenbacher, Barbara
10 Liu, Zhuangyi
10 Münch, Arnaud
10 Ning, Zhenhu
10 Rebiai, Salah Eddine
10 Weiss, George
9 Burns, John A.
9 Conti, Monica C.
9 Gou, Haide
9 Kumar, Surendra Shashi
9 Lassas, Matti J.
9 Lizama, Carlos
9 Muha, Boris
9 Nolasco de Carvalho, Alexandre
9 Ouzahra, Mohamed
9 Pellicer, Marta
9 Rammaha, Mohammad A.
9 Yang, Fengyan
8 Breiten, Tobias
8 Dabas, Jaydev
8 Dauer, Jerald P.
8 Eller, Matthias M.
8 Ha, Tae Gab
8 Hu, Weiwei
8 Isakov, Victor M.
8 Li, Qiang
8 Mena, Hermann
8 Mohan, Manil Thankamani
8 Morris, Kirsten A.
8 Nambu, Takao
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 Boutoulout, Ali
7 Chen, Wenhui
7 Cholewa, Jan W.
7 de Hoop, Maarten V.
7 Favini, Angelo
7 Flandoli, Franco
7 Fukuoka, Ryuichi
7 Gozzi, Fausto
7 Han, Zhongjie
...and 1,851 more Authors
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Cited in 318 Serials

179 Journal of Mathematical Analysis and Applications
120 Journal of Differential Equations
91 Applied Mathematics and Optimization
76 Systems & Control Letters
65 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
64 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
64 Evolution Equations and Control Theory
59 Applicable Analysis
56 SIAM Journal on Control and Optimization
52 International Journal of Control
47 Journal of Optimization Theory and Applications
46 Mathematical Methods in the Applied Sciences
40 Automatica
28 Journal of Evolution Equations
27 Discrete and Continuous Dynamical Systems
24 ZAMP. Zeitschrift für angewandte Mathematik und Physik
23 MCSS. Mathematics of Control, Signals, and Systems
22 Differential Equations
21 Inverse Problems
21 Numerical Functional Analysis and Optimization
21 Nonlinear Analysis. Real World Applications
19 Communications on Pure and Applied Analysis
19 Mathematical Control and Related Fields
18 SIAM Journal on Mathematical Analysis
17 Journal de Mathématiques Pures et Appliquées. Neuvième Série
17 Journal of Dynamical and Control Systems
16 Applied Mathematics Letters
16 Discrete and Continuous Dynamical Systems. Series S
15 Computers & Mathematics with Applications
15 Discrete and Continuous Dynamical Systems. Series B
14 Applied Mathematics and Computation
14 European Journal of Control
13 Journal of Mathematical Physics
13 Comptes Rendus. Mathématique. Académie des Sciences, Paris
12 Journal of Functional Analysis
12 Transactions of the American Mathematical Society
12 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
11 Journal of Inverse and Ill-Posed Problems
11 Advances in Difference Equations
11 Nonlinear Analysis. Theory, Methods & Applications
10 Journal of Computational and Applied Mathematics
10 Semigroup Forum
10 Chinese Annals of Mathematics. Series B
10 Abstract and Applied Analysis
10 Journal of Systems Science and Complexity
9 Annali di Matematica Pura ed Applicata. Serie Quarta
9 Integral Equations and Operator Theory
9 Mathematische Nachrichten
9 Proceedings of the American Mathematical Society
9 Communications in Partial Differential Equations
9 Journal of Dynamics and Differential Equations
9 Computational Optimization and Applications
9 Journal of Mathematical Sciences (New York)
9 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
9 International Journal of Applied Mathematics and Computer Science
8 Mathematical Problems in Engineering
8 Journal of Mathematical Fluid Mechanics
8 Inverse Problems and Imaging
7 Journal of the Franklin Institute
7 Mathematics and Computers in Simulation
7 Quarterly of Applied Mathematics
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7 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
7 Qualitative Theory of Dynamical Systems
7 Boundary Value Problems
6 Israel Journal of Mathematics
6 Nonlinearity
6 Rendiconti del Circolo Matemàtico di Palermo. Serie II
6 Acta Applicandae Mathematicae
6 Applied Numerical Mathematics
6 Asymptotic Analysis
6 Linear Algebra and its Applications
6 SIAM Journal on Applied Mathematics
6 Bulletin of the Brazilian Mathematical Society. New Series
5 Kybernetika
5 Stochastic Analysis and Applications
5 Mathematical and Computer Modelling
5 Journal of Scientific Computing
5 The Journal of Geometric Analysis
5 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
5 Archives of Control Sciences
5 Electronic Journal of Differential Equations (EJDE)
5 Doklady Mathematics
5 Fractional Calculus & Applied Analysis
5 Acta Mathematica Sinica. English Series
5 Journal of Function Spaces
4 Archive for Rational Mechanics and Analysis
4 Computer Methods in Applied Mechanics and Engineering
4 International Journal of Systems Science
4 Journal of Computational Physics
4 Rocky Mountain Journal of Mathematics
4 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
4 Meccanica
4 Optimal Control Applications & Methods
4 Journal of Integral Equations and Applications
4 International Journal of Robust and Nonlinear Control
4 Topological Methods in Nonlinear Analysis
4 NoDEA. Nonlinear Differential Equations and Applications
4 Positivity
4 Taiwanese Journal of Mathematics
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Cited in 42 Fields

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1,169 Systems theory; control (93-XX)
400 Mechanics of deformable solids (74-XX)
329 Operator theory (47-XX)
285 Calculus of variations and optimal control; optimization (49-XX)
260 Ordinary differential equations (34-XX)
191 Fluid mechanics (76-XX)
140 Numerical analysis (65-XX)
63 Probability theory and stochastic processes (60-XX)
62 Dynamical systems and ergodic theory (37-XX)
50 Integral equations (45-XX)
38 Global analysis, analysis on manifolds (58-XX)
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20 Optics, electromagnetic theory (78-XX)
17 Linear and multilinear algebra; matrix theory (15-XX)
11 Harmonic analysis on Euclidean spaces (42-XX)
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