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Lebeau, Gilles

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Author ID: lebeau.gilles Recent zbMATH articles by "Lebeau, Gilles"
Published as: Lebeau, G.; Lebeau, Gilles
Homepage: http://math.unice.fr/laboratoire/fiche&id=224
External Links: MGP · Wikidata · dblp · GND
Documents Indexed: 120 Publications since 1980, including 5 Books
all top 5

Serials

8 Séminaire Équations aux Dérivées Partielles
6 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
6 Communications in Partial Differential Equations
6 Comptes Rendus de l’Académie des Sciences. Série I
5 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
4 Inventiones Mathematicae
3 Mathematische Zeitschrift
2 Archive for Rational Mechanics and Analysis
2 Journal of Computational Physics
2 Annales de l’Institut Fourier
2 Duke Mathematical Journal
2 Journal of Differential Equations
2 SIAM Journal on Control and Optimization
2 Journal of the American Mathematical Society
2 Asymptotic Analysis
2 Journal de Mathématiques Pures et Appliquées. Neuvième Série
2 Experimental Mathematics
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Astérisque
1 Communications in Mathematical Physics
1 Journal d’Analyse Mathématique
1 Letters in Mathematical Physics
1 The Annals of Probability
1 Bulletin de la Société Mathématique de France
1 Bulletin de la Société Royale des Sciences de Liège
1 Publications Mathématiques
1 Journal of Functional Analysis
1 Numerische Mathematik
1 Proceedings of the American Mathematical Society
1 SIAM Journal on Mathematical Analysis
1 Mémoires de la Société Mathématique de France. Nouvelle Série
1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique
1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Annals of Mathematics. Second Series
1 Portugaliae Mathematica. Nova Série
1 Journal of the Institute of Mathematics of Jussieu
1 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A
1 Revue du CETHEDEC
1 Annals of Mathematics Studies
1 Lecture Notes in Mathematics
1 Séminaires et Congrès
1 Analysis & PDE

Publications by Year

Citations contained in zbMATH

94 Publications have been cited 2,096 times in 1,410 Documents Cited by Year
Sharp sufficient conditions for the observation, control, and stabilization of waves from the boundary. Zbl 0786.93009
Bardos, Claude; Lebeau, Gilles; Rauch, Jeffrey
500
1992
Exact control of the heat equation. Zbl 0819.35071
Lebeau, G.; Robbiano, L.
254
1995
Damped wave equation. Zbl 0863.58068
Lebeau, G.
100
1996
Control of the Schrödinger equation. Zbl 0838.35013
Lebeau, G.
78
1992
On Carleman estimates for elliptic and parabolic operators. Applications to unique continuation and control of parabolic equations. Zbl 1262.35206
Le Rousseau, Jérôme; Lebeau, Gilles
74
2012
Complex immersions and Quillen metrics. Zbl 0784.32010
Bismut, Jean-Michel; Lebeau, Gilles
70
1991
Null-controllability of a system of linear thermoelasticity. Zbl 1064.93501
Lebeau, Gilles; Zuazua, Enrique
68
1998
Stabilization of the wave equation by the boundary. Zbl 0884.58093
Lebeau, Gilles; Robbiano, Luc
68
1997
Decay rates for the three-dimensional linear system of thermoelasticity. Zbl 0939.74016
Lebeau, Gilles; Zuazua, Enrique
62
1999
Unique continuation property for solutions of Stokes’ equations. Zbl 0849.35098
Fabre, Caroline; Lebeau, Gilles
54
1996
Stabilization and control for the subcritical semilinear wave equation. Zbl 1036.35033
Dehman, Belhassen; Lebeau, Gilles; Zuazua, Enrique
41
2003
Nodal sets of sums of eigenfunctions. Zbl 0946.35055
Jerison, David; Lebeau, Gilles
41
1999
Stabilization and control for the nonlinear Schrödinger equation on a compact surface. Zbl 1127.93015
Dehman, B.; Gérard, P.; Lebeau, G.
40
2006
A wave problem in a half-space with a unilateral constraint at the boundary. Zbl 0559.35043
Lebeau, G.; Schatzman, M.
35
1984
Un example d’utilisation des notions de propagation pour le contrôle et la stabilisation de problèmes hyperboliques. (An example on the utilisation of notions of propagation for the control and stabilization of hyperbolic problems). Zbl 0673.93037
Bardos, C.; Lebeau, G.; Rauch, J.
33
1988
Global existence for energy critical waves in 3-D domains. Zbl 1204.35119
Burq, Nicolas; Lebeau, Gilles; Planchon, Fabrice
28
2008
Nonlinear optics and supercritical wave equation. Zbl 1034.35137
Lebeau, Gilles
25
2001
Loss of regularity for super critical wave equations. Zbl 1071.35020
Lebeau, Gilles
23
2005
The hypoelliptic Laplacian and Ray-Singer metrics. Zbl 1156.58001
Bismut, Jean-Michel; Lebeau, Gilles
22
2008
Microlocal defect measures, application to the Lamé system. Zbl 1043.35009
Burq, Nicolas; Lebeau, Gilles
21
2001
Singular optimal control for a transport-diffusion equation. Zbl 1135.35017
Guerrero, S.; Lebeau, G.
20
2007
Analysis of the HUM control operator and exact controllability for semilinear waves in uniform time. Zbl 1194.35268
Dehman, B.; Lebeau, G.
19
2009
Scattering frequencies and Gevrey 3 singularities. Zbl 0723.35058
Bardos, C.; Lebeau, G.; Rauch, J.
19
1987
On the regularity of the Kelvin-Helmholtz problem for the 2D Euler equation. Zbl 1070.35504
Lebeau, Gilles
16
2002
Deuxième microlocalisation sur les sous variétés isotropes. Zbl 0539.58038
Lebeau, Gilles
16
1985
Geometric control condition for the wave equation with a time-dependent observation domain. Zbl 1391.35254
Le Rousseau, Jérôme; Lebeau, Gilles; Terpolilli, Peppino; Trélat, Emmanuel
15
2017
Geometric analysis for the Metropolis algorithm on Lipschitz domains. Zbl 1227.60093
Diaconis, Persi; Lebeau, Gilles; Michel, Laurent
15
2011
Geometrical aspects of exact boundary controllability for the wave equation – a numerical study. Zbl 1052.93501
Asch, M.; Lebeau, G.
15
1998
On the non uniform decay of the energy in the system of linear thermoelasticity. Zbl 0873.35011
Lebeau, Gilles; Zuazua, Enrique
14
1997
Analytic control. I: A priori estimates. Zbl 0780.93053
Lebeau, Gilles
14
1992
Gradient discretization of hybrid dimensional Darcy flows in fractured porous media. Zbl 1358.76069
Brenner, Konstantin; Groza, Mayya; Guichard, Cindy; Lebeau, Gilles; Masson, Roland
13
2016
Probabilistic Sobolev embeddings and applications. Zbl 1296.46031
Burq, Nicolas; Lebeau, Gilles
13
2013
Semi-classical analysis of a random walk on a manifold. Zbl 1187.58033
Lebeau, Gilles; Michel, Laurent
13
2010
The spectrum of the damped wave operator for a bounded domain in \(\mathbb R^2\). Zbl 1061.35064
Asch, Mark; Lebeau, Gilles
13
2003
Fonctions harmoniques et spectre singulier. Zbl 0446.46035
Lebeau, Gilles
13
1980
Smoothness and uniqueness for the Stokes problem. Zbl 1090.35143
Fabre, Caroline; Lebeau, Gilles
12
2002
Diffraction of a wave at a corner. Zbl 0779.35063
Gérard, Patrick; Lebeau, Gilles
12
1993
Regularité Gevrey 3 pour la diffraction. Zbl 0559.35019
Lebeau, G.
12
1984
Diffraction by a convex obstacle. Zbl 0831.35121
Harge, Thierry; Lebeau, Gilles
10
1994
Diffraction by an immersed elastic wedge. Zbl 0942.35002
Croisille, Jean-Pierre; Lebeau, Gilles
9
1999
Stabilisation de l’équation des ondes au moyen d’un feedback portant sur la condition aux limites de Dirichlet. (Stabilization of the wave equation by Dirichlet type boundary feedback). Zbl 0764.35055
Bardos, Claude; Halpern, Laurence; Lebeau, Gilles; Rauch, Jeffrey; Zuazua, Enrique
9
1991
Micro-local analysis for the Metropolis algorithm. Zbl 1178.60053
Diaconis, Persi; Lebeau, Gilles
8
2009
Dispersion for the wave equation inside strictly convex domains. I: The Friedlander model case. Zbl 1310.35151
Ivanovici, Oana; Lebeau, Gilles; Planchon, Fabrice
7
2014
Spectral inequality and optimal cost of controllability for the Stokes system. Zbl 1357.35178
Chaves-Silva, Felipe W.; Lebeau, Gilles
6
2016
Diffraction by an elastic wedge with stress-free boundary: existence and uniqueness. Zbl 1149.35405
Kamotski, Vladimir V.; Lebeau, Gilles
6
2006
The wave equation with oscillating density: Observability at low frequency. Zbl 0953.35083
Lebeau, Gilles
6
2000
Control for hyperbolic equations. Zbl 0779.35005
Lebeau, Gilles
6
1992
Equations des ondes semi-linéaires. II: Contrôle des singularités et caustiques non linéaires. (Semilinear wave equations. II: Control of nonlinear singularities and caustics). Zbl 0686.35015
Lebeau, G.
6
1989
Immersions complexes et métriques de Quillen. (Complex immersions and Quillen metrics). Zbl 0681.53034
Bismut, Jean-Michel; Lebeau, Gilles
6
1989
Gradient discretization of hybrid dimensional Darcy flows in fractured porous media. Zbl 1426.76340
Brenner, Konstantin; Groza, Mayya; Guichard, Cindy; Lebeau, Gilles; Masson, Roland
5
2014
Experimental study of the HUM control operator for linear waves. Zbl 1190.35011
Lebeau, Gilles; Nodet, Maëlle
5
2010
On 2D Rayleigh-Taylor instabilities. Zbl 1083.35114
Kamotski, V.; Lebeau, G.
5
2005
Exact control of the heat equation. Zbl 0884.35049
Lebeau, G.; Robbiano, L.
5
1995
Microlocal ideas in control and stabilization. Zbl 0676.93040
Bardos, Claude; Lebeau, Gilles; Rauch, Jeffrey
5
1989
Deuxième microlocalisation à croissance. Zbl 0518.58037
Lebeau, G.
5
1983
Geometric Fokker-Planck equations. II: Maximal hypoelliptic estimates. Zbl 1177.58018
Lebeau, Gilles
4
2007
Geometric Fokker-Planck equations. Zbl 1087.58016
Lebeau, Gilles
4
2005
Wave propagation in manifolds with corners. Zbl 0891.35072
Lebeau, Gilles
4
1997
Damped wave equations. Zbl 0887.35091
Lebeau, G.
4
1994
Singularities of solutions of semilinear wave equations. Zbl 0776.35088
Lebeau, G.
4
1992
Annulation de la cohomologie hyperfonction de certains modules holonomes. Zbl 0423.58017
Lebeau, Gilles
4
1980
Diffusion approximation for Fokker Planck with heavy tail equilibria: a spectral method in dimension 1. Zbl 1422.60144
Lebeau, Gilles; Puel, Marjolaine
3
2019
Dispersion for the wave and the Schrödinger equations outside strictly convex obstacles and counterexamples. Zbl 1375.35491
Ivanovici, Oana; Lebeau, Gilles
3
2017
Gibbs/Metropolis algorithms on a convex polytope. Zbl 1254.60079
Diaconis, Persi; Lebeau, Gilles; Michel, Laurent
3
2012
The hypoelliptic Laplacian and analytic torsion. Zbl 1073.58024
Bismut, Jean-Michel; Lebeau, Gilles
3
2005
Nonlinear optics and supercritical waves. Zbl 1069.35512
Lebeau, Gilles
3
2000
A strong uniqueness problem for the wave equation. Zbl 1126.58304
Lebeau, Gilles
3
1999
On the eigenvalues of a disturbed harmonic oscillator. Zbl 0813.35141
Boutet de Monvel-Berthier, Anne; Boutet de Monvel, Louis; Lebeau, Gilles
3
1992
Micro-local approach to the control for the plates equation. Zbl 0785.49002
Burq, Nicolas; Lebeau, Gilles
3
1992
Microfonctions I-lagrangiennes. (I-Lagrangian microfunctions). Zbl 0659.46042
Delort, J.-M.; Lebeau, G.
3
1988
Problème de Cauchy semi-linéaire en 3 dimensions d’espace. Un résultat de finitude. (A semilinear Cauchy problem in three dimensional spaces. A finiteness result). Zbl 0648.35057
Lebeau, Gilles
3
1988
Introduction to Carleman inequalities. Zbl 1419.93022
Lebeau, Gilles
2
2015
Probabilistic Sobolev embeddings, applications to eigenfunctions estimates. Zbl 1357.46024
Burq, Nicolas; Lebeau, Gilles
2
2014
Stabilization of the wave equation by the boundary. Zbl 0856.35074
Lebeau, Gilles; Robbiano, Luc
2
1996
Wave propagation in dihedra. Zbl 0845.35061
Lebeau, Gilles
2
1995
Control for hyperbolic equations. Zbl 0793.93072
Lebeau, Gilles
2
1993
Contrôle et stabilisation hyperboliques. (Hyperbolic control and stabilisation). Zbl 0706.35004
Lebeau, G.
2
1990
Front d’onde des fonctions non linéaires et polynômes. (Wave front of nonlinear functions and polynomials). Zbl 0698.35101
Lebeau, G.
2
1989
On the second Painlevé equation: The connection formula via a Riemann- Hilbert problem and other results. Zbl 0651.34058
Lebeau, G.; Lochak, P.
2
1987
Une propriété d’invariance pour le spectre des traces de solutions d’opérateurs différentiels. Zbl 0508.46032
Lebeau, Gilles
2
1982
Remarks on Vasy’s operator with analytic coefficients. Zbl 1412.35207
Lebeau, Gilles; Zworski, Maciej
1
2019
Spectral analysis of hypoelliptic random walks. Zbl 1326.58021
Lebeau, Gilles; Michel, Laurent
1
2015
The hypoelliptics Laplacian of J.-M. Bismut. Zbl 1147.58025
Lebeau, Gilles
1
2007
Regularity of the Kelvin-Helmholtz problem for the 2d Euler equation. Zbl 1062.35503
Lebeau, Gilles
1
2001
Wave propagation in manifolds with corners. Zbl 0963.35110
Lebeau, G.
1
1996
Asymptotic analysis of the diffraction at a convex grating. Zbl 0828.35129
Abboud, Toufic; Ammari, Habib; Lebeau, Gilles
1
1995
Maxwell equations and impedance boundary operator for an absorbing convex obstacle. Zbl 0780.35108
Lafitte, Olivier; Lebeau, Gilles
1
1993
Interaction of weak singularities for the semilinear wave equations. Zbl 0753.35053
Lebeau, Gilles
1
1991
Calcul de dérivées normales et méthode de Galerkin appliquée au problème de contrôlabilité exacte. (Computation of normal derivatives and a Galerkin method applied to the problem of exact controllability). Zbl 0760.49003
Bardos, Claude; Bourquin, Frédéric; Lebeau, Gilles
1
1991
Contrôle et stabilisation pour l’équation des ondes. (Control and stabilization of wave equations). Zbl 0644.49025
Bardos, C.; Lebeau, G.; Rauch, J.
1
1987
Majorations de deuxièmes micro-supports. (Upper bounds for second micro-supports). Zbl 0604.58047
Delort, Jean-Marc; Lebeau, Gilles
1
1986
Propagation des singularités Gevrey pour le problème de Dirichlet. (Propagation of Gevrey singularities for the Dirichlet problem). Zbl 0603.35015
Lebeau, G.
1
1986
Deuxième microlocalisation sur les sous-variétés isotropes. Zbl 0569.35007
Lebeau, G.
1
1982
Non holonomie dans un problème de diffraction. Zbl 0446.35020
Lebeau, G.
1
1980
Diffusion approximation for Fokker Planck with heavy tail equilibria: a spectral method in dimension 1. Zbl 1422.60144
Lebeau, Gilles; Puel, Marjolaine
3
2019
Remarks on Vasy’s operator with analytic coefficients. Zbl 1412.35207
Lebeau, Gilles; Zworski, Maciej
1
2019
Geometric control condition for the wave equation with a time-dependent observation domain. Zbl 1391.35254
Le Rousseau, Jérôme; Lebeau, Gilles; Terpolilli, Peppino; Trélat, Emmanuel
15
2017
Dispersion for the wave and the Schrödinger equations outside strictly convex obstacles and counterexamples. Zbl 1375.35491
Ivanovici, Oana; Lebeau, Gilles
3
2017
Gradient discretization of hybrid dimensional Darcy flows in fractured porous media. Zbl 1358.76069
Brenner, Konstantin; Groza, Mayya; Guichard, Cindy; Lebeau, Gilles; Masson, Roland
13
2016
Spectral inequality and optimal cost of controllability for the Stokes system. Zbl 1357.35178
Chaves-Silva, Felipe W.; Lebeau, Gilles
6
2016
Introduction to Carleman inequalities. Zbl 1419.93022
Lebeau, Gilles
2
2015
Spectral analysis of hypoelliptic random walks. Zbl 1326.58021
Lebeau, Gilles; Michel, Laurent
1
2015
Dispersion for the wave equation inside strictly convex domains. I: The Friedlander model case. Zbl 1310.35151
Ivanovici, Oana; Lebeau, Gilles; Planchon, Fabrice
7
2014
Gradient discretization of hybrid dimensional Darcy flows in fractured porous media. Zbl 1426.76340
Brenner, Konstantin; Groza, Mayya; Guichard, Cindy; Lebeau, Gilles; Masson, Roland
5
2014
Probabilistic Sobolev embeddings, applications to eigenfunctions estimates. Zbl 1357.46024
Burq, Nicolas; Lebeau, Gilles
2
2014
Probabilistic Sobolev embeddings and applications. Zbl 1296.46031
Burq, Nicolas; Lebeau, Gilles
13
2013
On Carleman estimates for elliptic and parabolic operators. Applications to unique continuation and control of parabolic equations. Zbl 1262.35206
Le Rousseau, Jérôme; Lebeau, Gilles
74
2012
Gibbs/Metropolis algorithms on a convex polytope. Zbl 1254.60079
Diaconis, Persi; Lebeau, Gilles; Michel, Laurent
3
2012
Geometric analysis for the Metropolis algorithm on Lipschitz domains. Zbl 1227.60093
Diaconis, Persi; Lebeau, Gilles; Michel, Laurent
15
2011
Semi-classical analysis of a random walk on a manifold. Zbl 1187.58033
Lebeau, Gilles; Michel, Laurent
13
2010
Experimental study of the HUM control operator for linear waves. Zbl 1190.35011
Lebeau, Gilles; Nodet, Maëlle
5
2010
Analysis of the HUM control operator and exact controllability for semilinear waves in uniform time. Zbl 1194.35268
Dehman, B.; Lebeau, G.
19
2009
Micro-local analysis for the Metropolis algorithm. Zbl 1178.60053
Diaconis, Persi; Lebeau, Gilles
8
2009
Global existence for energy critical waves in 3-D domains. Zbl 1204.35119
Burq, Nicolas; Lebeau, Gilles; Planchon, Fabrice
28
2008
The hypoelliptic Laplacian and Ray-Singer metrics. Zbl 1156.58001
Bismut, Jean-Michel; Lebeau, Gilles
22
2008
Singular optimal control for a transport-diffusion equation. Zbl 1135.35017
Guerrero, S.; Lebeau, G.
20
2007
Geometric Fokker-Planck equations. II: Maximal hypoelliptic estimates. Zbl 1177.58018
Lebeau, Gilles
4
2007
The hypoelliptics Laplacian of J.-M. Bismut. Zbl 1147.58025
Lebeau, Gilles
1
2007
Stabilization and control for the nonlinear Schrödinger equation on a compact surface. Zbl 1127.93015
Dehman, B.; Gérard, P.; Lebeau, G.
40
2006
Diffraction by an elastic wedge with stress-free boundary: existence and uniqueness. Zbl 1149.35405
Kamotski, Vladimir V.; Lebeau, Gilles
6
2006
Loss of regularity for super critical wave equations. Zbl 1071.35020
Lebeau, Gilles
23
2005
On 2D Rayleigh-Taylor instabilities. Zbl 1083.35114
Kamotski, V.; Lebeau, G.
5
2005
Geometric Fokker-Planck equations. Zbl 1087.58016
Lebeau, Gilles
4
2005
The hypoelliptic Laplacian and analytic torsion. Zbl 1073.58024
Bismut, Jean-Michel; Lebeau, Gilles
3
2005
Stabilization and control for the subcritical semilinear wave equation. Zbl 1036.35033
Dehman, Belhassen; Lebeau, Gilles; Zuazua, Enrique
41
2003
The spectrum of the damped wave operator for a bounded domain in \(\mathbb R^2\). Zbl 1061.35064
Asch, Mark; Lebeau, Gilles
13
2003
On the regularity of the Kelvin-Helmholtz problem for the 2D Euler equation. Zbl 1070.35504
Lebeau, Gilles
16
2002
Smoothness and uniqueness for the Stokes problem. Zbl 1090.35143
Fabre, Caroline; Lebeau, Gilles
12
2002
Nonlinear optics and supercritical wave equation. Zbl 1034.35137
Lebeau, Gilles
25
2001
Microlocal defect measures, application to the Lamé system. Zbl 1043.35009
Burq, Nicolas; Lebeau, Gilles
21
2001
Regularity of the Kelvin-Helmholtz problem for the 2d Euler equation. Zbl 1062.35503
Lebeau, Gilles
1
2001
The wave equation with oscillating density: Observability at low frequency. Zbl 0953.35083
Lebeau, Gilles
6
2000
Nonlinear optics and supercritical waves. Zbl 1069.35512
Lebeau, Gilles
3
2000
Decay rates for the three-dimensional linear system of thermoelasticity. Zbl 0939.74016
Lebeau, Gilles; Zuazua, Enrique
62
1999
Nodal sets of sums of eigenfunctions. Zbl 0946.35055
Jerison, David; Lebeau, Gilles
41
1999
Diffraction by an immersed elastic wedge. Zbl 0942.35002
Croisille, Jean-Pierre; Lebeau, Gilles
9
1999
A strong uniqueness problem for the wave equation. Zbl 1126.58304
Lebeau, Gilles
3
1999
Null-controllability of a system of linear thermoelasticity. Zbl 1064.93501
Lebeau, Gilles; Zuazua, Enrique
68
1998
Geometrical aspects of exact boundary controllability for the wave equation – a numerical study. Zbl 1052.93501
Asch, M.; Lebeau, G.
15
1998
Stabilization of the wave equation by the boundary. Zbl 0884.58093
Lebeau, Gilles; Robbiano, Luc
68
1997
On the non uniform decay of the energy in the system of linear thermoelasticity. Zbl 0873.35011
Lebeau, Gilles; Zuazua, Enrique
14
1997
Wave propagation in manifolds with corners. Zbl 0891.35072
Lebeau, Gilles
4
1997
Damped wave equation. Zbl 0863.58068
Lebeau, G.
100
1996
Unique continuation property for solutions of Stokes’ equations. Zbl 0849.35098
Fabre, Caroline; Lebeau, Gilles
54
1996
Stabilization of the wave equation by the boundary. Zbl 0856.35074
Lebeau, Gilles; Robbiano, Luc
2
1996
Wave propagation in manifolds with corners. Zbl 0963.35110
Lebeau, G.
1
1996
Exact control of the heat equation. Zbl 0819.35071
Lebeau, G.; Robbiano, L.
254
1995
Exact control of the heat equation. Zbl 0884.35049
Lebeau, G.; Robbiano, L.
5
1995
Wave propagation in dihedra. Zbl 0845.35061
Lebeau, Gilles
2
1995
Asymptotic analysis of the diffraction at a convex grating. Zbl 0828.35129
Abboud, Toufic; Ammari, Habib; Lebeau, Gilles
1
1995
Diffraction by a convex obstacle. Zbl 0831.35121
Harge, Thierry; Lebeau, Gilles
10
1994
Damped wave equations. Zbl 0887.35091
Lebeau, G.
4
1994
Diffraction of a wave at a corner. Zbl 0779.35063
Gérard, Patrick; Lebeau, Gilles
12
1993
Control for hyperbolic equations. Zbl 0793.93072
Lebeau, Gilles
2
1993
Maxwell equations and impedance boundary operator for an absorbing convex obstacle. Zbl 0780.35108
Lafitte, Olivier; Lebeau, Gilles
1
1993
Sharp sufficient conditions for the observation, control, and stabilization of waves from the boundary. Zbl 0786.93009
Bardos, Claude; Lebeau, Gilles; Rauch, Jeffrey
500
1992
Control of the Schrödinger equation. Zbl 0838.35013
Lebeau, G.
78
1992
Analytic control. I: A priori estimates. Zbl 0780.93053
Lebeau, Gilles
14
1992
Control for hyperbolic equations. Zbl 0779.35005
Lebeau, Gilles
6
1992
Singularities of solutions of semilinear wave equations. Zbl 0776.35088
Lebeau, G.
4
1992
On the eigenvalues of a disturbed harmonic oscillator. Zbl 0813.35141
Boutet de Monvel-Berthier, Anne; Boutet de Monvel, Louis; Lebeau, Gilles
3
1992
Micro-local approach to the control for the plates equation. Zbl 0785.49002
Burq, Nicolas; Lebeau, Gilles
3
1992
Complex immersions and Quillen metrics. Zbl 0784.32010
Bismut, Jean-Michel; Lebeau, Gilles
70
1991
Stabilisation de l’équation des ondes au moyen d’un feedback portant sur la condition aux limites de Dirichlet. (Stabilization of the wave equation by Dirichlet type boundary feedback). Zbl 0764.35055
Bardos, Claude; Halpern, Laurence; Lebeau, Gilles; Rauch, Jeffrey; Zuazua, Enrique
9
1991
Interaction of weak singularities for the semilinear wave equations. Zbl 0753.35053
Lebeau, Gilles
1
1991
Calcul de dérivées normales et méthode de Galerkin appliquée au problème de contrôlabilité exacte. (Computation of normal derivatives and a Galerkin method applied to the problem of exact controllability). Zbl 0760.49003
Bardos, Claude; Bourquin, Frédéric; Lebeau, Gilles
1
1991
Contrôle et stabilisation hyperboliques. (Hyperbolic control and stabilisation). Zbl 0706.35004
Lebeau, G.
2
1990
Equations des ondes semi-linéaires. II: Contrôle des singularités et caustiques non linéaires. (Semilinear wave equations. II: Control of nonlinear singularities and caustics). Zbl 0686.35015
Lebeau, G.
6
1989
Immersions complexes et métriques de Quillen. (Complex immersions and Quillen metrics). Zbl 0681.53034
Bismut, Jean-Michel; Lebeau, Gilles
6
1989
Microlocal ideas in control and stabilization. Zbl 0676.93040
Bardos, Claude; Lebeau, Gilles; Rauch, Jeffrey
5
1989
Front d’onde des fonctions non linéaires et polynômes. (Wave front of nonlinear functions and polynomials). Zbl 0698.35101
Lebeau, G.
2
1989
Un example d’utilisation des notions de propagation pour le contrôle et la stabilisation de problèmes hyperboliques. (An example on the utilisation of notions of propagation for the control and stabilization of hyperbolic problems). Zbl 0673.93037
Bardos, C.; Lebeau, G.; Rauch, J.
33
1988
Microfonctions I-lagrangiennes. (I-Lagrangian microfunctions). Zbl 0659.46042
Delort, J.-M.; Lebeau, G.
3
1988
Problème de Cauchy semi-linéaire en 3 dimensions d’espace. Un résultat de finitude. (A semilinear Cauchy problem in three dimensional spaces. A finiteness result). Zbl 0648.35057
Lebeau, Gilles
3
1988
Scattering frequencies and Gevrey 3 singularities. Zbl 0723.35058
Bardos, C.; Lebeau, G.; Rauch, J.
19
1987
On the second Painlevé equation: The connection formula via a Riemann- Hilbert problem and other results. Zbl 0651.34058
Lebeau, G.; Lochak, P.
2
1987
Contrôle et stabilisation pour l’équation des ondes. (Control and stabilization of wave equations). Zbl 0644.49025
Bardos, C.; Lebeau, G.; Rauch, J.
1
1987
Majorations de deuxièmes micro-supports. (Upper bounds for second micro-supports). Zbl 0604.58047
Delort, Jean-Marc; Lebeau, Gilles
1
1986
Propagation des singularités Gevrey pour le problème de Dirichlet. (Propagation of Gevrey singularities for the Dirichlet problem). Zbl 0603.35015
Lebeau, G.
1
1986
Deuxième microlocalisation sur les sous variétés isotropes. Zbl 0539.58038
Lebeau, Gilles
16
1985
A wave problem in a half-space with a unilateral constraint at the boundary. Zbl 0559.35043
Lebeau, G.; Schatzman, M.
35
1984
Regularité Gevrey 3 pour la diffraction. Zbl 0559.35019
Lebeau, G.
12
1984
Deuxième microlocalisation à croissance. Zbl 0518.58037
Lebeau, G.
5
1983
Une propriété d’invariance pour le spectre des traces de solutions d’opérateurs différentiels. Zbl 0508.46032
Lebeau, Gilles
2
1982
Deuxième microlocalisation sur les sous-variétés isotropes. Zbl 0569.35007
Lebeau, G.
1
1982
Fonctions harmoniques et spectre singulier. Zbl 0446.46035
Lebeau, Gilles
13
1980
Annulation de la cohomologie hyperfonction de certains modules holonomes. Zbl 0423.58017
Lebeau, Gilles
4
1980
Non holonomie dans un problème de diffraction. Zbl 0446.35020
Lebeau, G.
1
1980
all top 5

Cited by 1,237 Authors

49 Zuazua, Enrique
33 Lebeau, Gilles
28 Ammari, Kais
23 Bismut, Jean-Michel
22 Cavalcanti, Marcelo Moreira
20 Tebou, Louis T.
19 Burq, Nicolas
18 Lasiecka, Irena
18 Münch, Arnaud
17 Beauchard, Karine
17 Domingos Cavalcanti, Valéria Neves
17 Fernández-Cara, Enrique
17 Ma, Xiaonan
17 Rao, Bopeng
16 Ervedoza, Sylvain
16 Le Rousseau, Jérôme H.
16 Léautaud, Matthieu
16 Yamamoto, Masahiro
16 Zhang, Weiping
16 Zhang, Xu
15 Alabau-Boussouira, Fatiha
14 Bellassoued, Mourad
14 Lü, Qi
14 Nicaise, Serge
14 Tucsnak, Marius
13 Li, Tatsien
13 Oksanen, Lauri
13 Rosier, Lionel
12 Benabdallah, Assia
12 Imanuvilov, Oleg Yu.
12 Laurent, Camille
12 Maniar, Lahcen
12 Robbiano, Luc
12 Trélat, Emmanuel
11 de Teresa, Luz
11 González-Burgos, Manuel
10 Phung, Kim Dang
9 Ammar-Khodja, Farid
9 Aouadi, Moncef
9 Chaves-Silva, Felipe Wallison
9 Guerrero, Sergio
9 Martinez, Patrick
9 Miller, Luc
9 Puel, Jean-Pierre
9 Takahashi, Takéo
9 Tautenhahn, Martin
9 Zworski, Maciej
8 Aloui, Lassaad
8 Cannarsa, Piermarco
8 Dardé, Jérémi
8 Glass, Olivier
8 Kian, Yavar
8 Masson, Roland
8 Raymond, Jean-Pierre
8 Renard, Yves
8 Royer, Julien
8 Triggiani, Roberto
8 Vancostenoble, Judith
8 Wang, Gengsheng
8 Zhang, Qiong
7 Boyer, Franck
7 Burman, Erik
7 Daoulatli, Moez
7 Fragnelli, Genni
7 Ludwig, Ursula Beate
7 Micu, Sorin
7 Privat, Yannick
7 Sjöstrand, Johannes
7 Tzvetkov, Nikolay
7 Veselić, Ivan
7 Vodev, Georgi
6 Alazard, Thomas
6 Ammari, Habib M.
6 Carles, Rémi
6 Choulli, Mourad
6 Christianson, Hans
6 Corrêa, Wellington José
6 Diaconis, Persi Warren
6 Fu, Xiaoyu
6 Ibrahim, Slim
6 Joly, Romain
6 Marinescu, George
6 Osses, Axel
6 Ouzahra, Mohamed
6 Pignotti, Cristina
6 Quintanilla de Latorre, Ramón
6 Rüland, Angkana
6 Saanouni, Tarek
6 Soccorsi, Eric
6 Vasy, András
6 Yao, Pengfei
6 Zhang, Can
5 Bourgeois, Laurent
5 Brenner, Konstantin
5 Cerpa, Eduardo
5 Cîndea, Nicolae
5 Dehman, Belhassen
5 Gerard, Patrick
5 Gugat, Martin
5 Guo, Bao-Zhu
...and 1,137 more Authors
all top 5

Cited in 249 Serials

84 Comptes Rendus. Mathématique. Académie des Sciences, Paris
81 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
78 Journal of Differential Equations
64 Journal of Mathematical Analysis and Applications
51 Journal de Mathématiques Pures et Appliquées. Neuvième Série
45 Communications in Partial Differential Equations
36 Journal of Functional Analysis
33 SIAM Journal on Control and Optimization
30 Mathematical Control and Related Fields
28 Systems & Control Letters
26 Communications in Mathematical Physics
22 Applicable Analysis
19 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
19 Evolution Equations and Control Theory
18 Archive for Rational Mechanics and Analysis
18 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
16 Transactions of the American Mathematical Society
16 Journal of the European Mathematical Society (JEMS)
15 Duke Mathematical Journal
14 Annales de l’Institut Fourier
14 MCSS. Mathematics of Control, Signals, and Systems
13 Mathematical Methods in the Applied Sciences
13 Journal of Optimization Theory and Applications
12 ZAMP. Zeitschrift für angewandte Mathematik und Physik
12 Inventiones Mathematicae
12 Discrete and Continuous Dynamical Systems
11 Advances in Mathematics
11 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
11 Applied Mathematics and Optimization
11 Journal of Mathematical Sciences (New York)
10 Mathematische Annalen
10 Applied Mathematics Letters
10 Annales Henri Poincaré
9 Applied Mathematics and Computation
9 Automatica
9 Numerische Mathematik
9 Chinese Annals of Mathematics. Series B
9 SIAM Journal on Mathematical Analysis
9 Journal of Evolution Equations
8 Journal of Computational Physics
8 Journal of Mathematical Physics
8 Mathematische Zeitschrift
8 Communications on Pure and Applied Analysis
7 Acta Applicandae Mathematicae
7 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
7 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
7 Acta Mathematica Sinica. English Series
7 Communications in Contemporary Mathematics
7 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
6 Computers & Mathematics with Applications
6 Journal d’Analyse Mathématique
6 Journal of Computational and Applied Mathematics
6 Proceedings of the American Mathematical Society
6 Journal of Dynamics and Differential Equations
6 Journal of Dynamical and Control Systems
6 Discrete and Continuous Dynamical Systems. Series B
5 Inverse Problems
5 Israel Journal of Mathematics
5 Publications of the Research Institute for Mathematical Sciences, Kyoto University
5 European Journal of Applied Mathematics
5 Journal of Systems Science and Complexity
5 Journal of the Institute of Mathematics of Jussieu
5 Annales Henri Lebesgue
4 Computer Methods in Applied Mechanics and Engineering
4 Journal of Statistical Physics
4 Memoirs of the American Mathematical Society
4 Quarterly of Applied Mathematics
4 Journal of the American Mathematical Society
4 The Journal of Geometric Analysis
4 Calculus of Variations and Partial Differential Equations
4 St. Petersburg Mathematical Journal
4 European Journal of Control
4 Inverse Problems and Imaging
4 Analysis & PDE
4 Science China. Mathematics
4 S\(\vec{\text{e}}\)MA Journal
4 Journal de l’École Polytechnique – Mathématiques
4 Séminaire Laurent Schwartz. EDP et Applications
3 Letters in Mathematical Physics
3 Mathematics of Computation
3 Acta Mathematica
3 Bulletin de la Société Mathématique de France
3 Integral Equations and Operator Theory
3 Journal of the Mathematical Society of Japan
3 Proceedings of the Japan Academy. Series A
3 SIAM Journal on Numerical Analysis
3 Stochastic Analysis and Applications
3 The Annals of Applied Probability
3 Geometric and Functional Analysis. GAFA
3 SIAM Journal on Applied Mathematics
3 Mémoires de la Société Mathématique de France. Nouvelle Série
3 Journal of Inverse and Ill-Posed Problems
3 Advances in Computational Mathematics
3 The Journal of Fourier Analysis and Applications
3 Computational Geosciences
3 Portugaliae Mathematica. Nova Série
3 Advances in Difference Equations
3 Nonlinear Analysis. Theory, Methods & Applications
3 Annals of PDE
3 Pure and Applied Analysis
...and 149 more Serials
all top 5

Cited in 54 Fields

1,085 Partial differential equations (35-XX)
606 Systems theory; control (93-XX)
182 Mechanics of deformable solids (74-XX)
172 Global analysis, analysis on manifolds (58-XX)
109 Fluid mechanics (76-XX)
105 Numerical analysis (65-XX)
95 Operator theory (47-XX)
78 Calculus of variations and optimal control; optimization (49-XX)
49 Quantum theory (81-XX)
42 Probability theory and stochastic processes (60-XX)
41 Dynamical systems and ergodic theory (37-XX)
41 Differential geometry (53-XX)
34 Several complex variables and analytic spaces (32-XX)
34 Optics, electromagnetic theory (78-XX)
29 Ordinary differential equations (34-XX)
21 Biology and other natural sciences (92-XX)
20 Functional analysis (46-XX)
18 Manifolds and cell complexes (57-XX)
14 Harmonic analysis on Euclidean spaces (42-XX)
13 Statistical mechanics, structure of matter (82-XX)
12 Algebraic geometry (14-XX)
12 Integral equations (45-XX)
11 Number theory (11-XX)
11 Classical thermodynamics, heat transfer (80-XX)
10 Functions of a complex variable (30-XX)
8 Real functions (26-XX)
8 Special functions (33-XX)
7 Mechanics of particles and systems (70-XX)
7 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
5 Operations research, mathematical programming (90-XX)
5 Information and communication theory, circuits (94-XX)
4 Combinatorics (05-XX)
4 \(K\)-theory (19-XX)
4 Integral transforms, operational calculus (44-XX)
4 Geophysics (86-XX)
3 History and biography (01-XX)
3 Measure and integration (28-XX)
3 Difference and functional equations (39-XX)
3 Statistics (62-XX)
3 Computer science (68-XX)
2 General and overarching topics; collections (00-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 Potential theory (31-XX)
2 Abstract harmonic analysis (43-XX)
2 Convex and discrete geometry (52-XX)
2 Algebraic topology (55-XX)
2 Relativity and gravitational theory (83-XX)
1 Commutative algebra (13-XX)
1 Nonassociative rings and algebras (17-XX)
1 Category theory; homological algebra (18-XX)
1 Topological groups, Lie groups (22-XX)
1 Geometry (51-XX)
1
1 Astronomy and astrophysics (85-XX)

Citations by Year

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