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Author ID: lebeau.gilles Recent zbMATH articles by "Lebeau, Gilles"
Published as: Lebeau, Gilles; Lebeau, G.
Homepage: http://math.unice.fr/laboratoire/fiche&id=224
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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 Journal of Computational Physics
3 Journal of Differential Equations
3 Mathematische Zeitschrift
2 Archive for Rational Mechanics and Analysis
2 Annales de l’Institut Fourier
2 Duke Mathematical Journal
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
2 Progress in Nonlinear Differential Equations and Their Applications
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 Journal of Mathematical Chemistry
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
1 Journal of Fractal Geometry
1 Annals of PDE
1 Journal de l’École Polytechnique – Mathématiques
1 Séminaire Laurent Schwartz. EDP et Applications

Publications by Year

Citations contained in zbMATH Open

106 Publications have been cited 3,088 times in 2,019 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
704
1992
Exact control of the heat equation. (Contrôle exact de l’équation de la chaleur.) Zbl 0819.35071
Lebeau, G.; Robbiano, L.
351
1995
Damped wave equation. (Equation des ondes amorties.) Zbl 0863.58068
Lebeau, G.
169
1996
Control of the Schrödinger equation. (Contrôle de l’équation de Schrödinger.) Zbl 0838.35013
Lebeau, G.
126
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
115
2012
Complex immersions and Quillen metrics. Zbl 0784.32010
Bismut, Jean-Michel; Lebeau, Gilles
100
1991
Stabilization of the wave equation by the boundary. (Stabilisation de l’équation des ondes par le bord.) Zbl 0884.58093
Lebeau, Gilles; Robbiano, Luc
99
1997
Null-controllability of a system of linear thermoelasticity. Zbl 1064.93501
Lebeau, Gilles; Zuazua, Enrique
94
1998
Decay rates for the three-dimensional linear system of thermoelasticity. Zbl 0939.74016
Lebeau, Gilles; Zuazua, Enrique
78
1999
Stabilization and control for the subcritical semilinear wave equation. Zbl 1036.35033
Dehman, Belhassen; Lebeau, Gilles; Zuazua, Enrique
72
2003
Unique continuation property for solutions of Stokes’ equations. (Prolongement unique des solutions de l’equation de Stokes.) Zbl 0849.35098
Fabre, Caroline; Lebeau, Gilles
70
1996
Stabilization and control for the nonlinear Schrödinger equation on a compact surface. Zbl 1127.93015
Dehman, B.; Gérard, P.; Lebeau, G.
67
2006
Nodal sets of sums of eigenfunctions. Zbl 0946.35055
Jerison, David; Lebeau, Gilles
63
1999
Global existence for energy critical waves in 3-D domains. Zbl 1204.35119
Burq, Nicolas; Lebeau, Gilles; Planchon, Fabrice
56
2008
A wave problem in a half-space with a unilateral constraint at the boundary. Zbl 0559.35043
Lebeau, G.; Schatzman, M.
42
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.
37
1988
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
37
2017
Loss of regularity for super critical wave equations. (Perte de régularité pour les équations d’ondes sur-critiques.) Zbl 1071.35020
Lebeau, Gilles
36
2005
Microlocal defect measures, application to the Lamé system. (Mesures de défaut de compacité, application au système de Lamé.) Zbl 1043.35009
Burq, Nicolas; Lebeau, Gilles
31
2001
Gradient discretization of hybrid dimensional Darcy flows in fractured porous media. Zbl 1358.76069
Brenner, Konstantin; Groza, Mayya; Guichard, Cindy; Lebeau, Gilles; Masson, Roland
30
2016
Analysis of the HUM control operator and exact controllability for semilinear waves in uniform time. Zbl 1194.35268
Dehman, B.; Lebeau, G.
29
2009
Singular optimal control for a transport-diffusion equation. Zbl 1135.35017
Guerrero, S.; Lebeau, G.
28
2007
Nonlinear optics and supercritical wave equation. Zbl 1034.35137
Lebeau, Gilles
27
2001
The hypoelliptic Laplacian and Ray-Singer metrics. Zbl 1156.58001
Bismut, Jean-Michel; Lebeau, Gilles
27
2008
Probabilistic Sobolev embeddings and applications. (Injections de Sobolev probabilistes et applications.) Zbl 1296.46031
Burq, Nicolas; Lebeau, Gilles
27
2013
Dispersion for the wave equation inside strictly convex domains. I: The Friedlander model case. Zbl 1310.35151
Ivanovici, Oana; Lebeau, Gilles; Planchon, Fabrice
26
2014
Geometric analysis for the Metropolis algorithm on Lipschitz domains. Zbl 1227.60093
Diaconis, Persi; Lebeau, Gilles; Michel, Laurent
22
2011
Scattering frequencies and Gevrey 3 singularities. Zbl 0723.35058
Bardos, C.; Lebeau, G.; Rauch, J.
21
1987
Analytic control. I: A priori estimates. (Contrôle analytique. I: Estimations à priori.) Zbl 0780.93053
Lebeau, Gilles
20
1992
On the regularity of the Kelvin-Helmholtz problem for the 2D Euler equation. (Régularité du problème de Kelvin-Helmholtz pour l’équation d’Euler 2D.) Zbl 1070.35504
Lebeau, Gilles
20
2002
Geometrical aspects of exact boundary controllability for the wave equation – a numerical study. Zbl 1052.93501
Asch, M.; Lebeau, G.
17
1998
Deuxième microlocalisation sur les sous variétés isotropes. Zbl 0539.58038
Lebeau, Gilles
17
1985
The spectrum of the damped wave operator for a bounded domain in \(\mathbb R^2\). Zbl 1061.35064
Asch, Mark; Lebeau, Gilles
17
2003
Spectral inequality and optimal cost of controllability for the Stokes system. Zbl 1357.35178
Chaves-Silva, Felipe W.; Lebeau, Gilles
17
2016
On the non uniform decay of the energy in the system of linear thermoelasticity. (Sur la décroissance non uniforme de l’énergie dans le système de la thermoélasticité linéaire.) Zbl 0873.35011
Lebeau, Gilles; Zuazua, Enrique
16
1997
Semi-classical analysis of a random walk on a manifold. Zbl 1187.58033
Lebeau, Gilles; Michel, Laurent
16
2010
Diffraction of a wave at a corner. (Diffusion d’une onde par un coin.) Zbl 0779.35063
Gérard, Patrick; Lebeau, Gilles
14
1993
Exact control of the heat equation. (Contrôle exact de l’équation de la chaleur.) Zbl 0884.35049
Lebeau, G.; Robbiano, L.
14
1995
Smoothness and uniqueness for the Stokes problem. (Régularité et unicité pour le problème de Stokes.) Zbl 1090.35143
Fabre, Caroline; Lebeau, Gilles
13
2002
Fonctions harmoniques et spectre singulier. Zbl 0446.46035
Lebeau, Gilles
13
1980
Regularité Gevrey 3 pour la diffraction. Zbl 0559.35019
Lebeau, G.
13
1984
Wave propagation in manifolds with corners. (Propagation des ondes dans les variétés à coins.) Zbl 0891.35072
Lebeau, Gilles
12
1997
Diffraction by an immersed elastic wedge. Zbl 0942.35002
Croisille, Jean-Pierre; Lebeau, Gilles
12
1999
Diffraction by a convex obstacle. (Diffraction par un convexe.) Zbl 0831.35121
Harge, Thierry; Lebeau, Gilles
11
1994
Control for hyperbolic equations. Zbl 0779.35005
Lebeau, Gilles
11
1992
On 2D Rayleigh-Taylor instabilities. Zbl 1083.35114
Kamotski, V.; Lebeau, G.
10
2005
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.
10
1989
Micro-local analysis for the Metropolis algorithm. Zbl 1178.60053
Diaconis, Persi; Lebeau, Gilles
10
2009
Diffraction by an elastic wedge with stress-free boundary: existence and uniqueness. Zbl 1149.35405
Kamotski, Vladimir V.; Lebeau, Gilles
10
2006
Dispersion for the wave and the Schrödinger equations outside strictly convex obstacles and counterexamples. (Estimations de dispersion pour l’équation des ondes et de Schrödinger à l’extérieur des obstacles strictement convexes et contre-exemples.) Zbl 1375.35491
Ivanovici, Oana; Lebeau, Gilles
10
2017
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
Damped wave equations. (Équations des ondes amorties.) Zbl 0887.35091
Lebeau, G.
9
1994
Experimental study of the HUM control operator for linear waves. Zbl 1190.35011
Lebeau, Gilles; Nodet, Maëlle
8
2010
Probabilistic Sobolev embeddings, applications to eigenfunctions estimates. Zbl 1357.46024
Burq, Nicolas; Lebeau, Gilles
8
2014
Diffusion approximation for Fokker Planck with heavy tail equilibria: a spectral method in dimension 1. Zbl 1422.60144
Lebeau, Gilles; Puel, Marjolaine
8
2019
The wave equation with oscillating density: Observability at low frequency. Zbl 0953.35083
Lebeau, Gilles
7
2000
Gibbs/Metropolis algorithms on a convex polytope. Zbl 1254.60079
Diaconis, Persi; Lebeau, Gilles; Michel, Laurent
7
2012
Elliptic Carleman estimates and applications to stabilization and controllability. Volume II. General boundary conditions on Riemannian manifolds. Zbl 1497.35006
Le Rousseau, Jérôme; Lebeau, Gilles; Robbiano, Luc
7
2022
Microlocal ideas in control and stabilization. Zbl 0676.93040
Bardos, Claude; Lebeau, Gilles; Rauch, Jeffrey
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
6
2014
Strichartz estimates for the wave equation on a 2D model convex domain. Zbl 1481.35090
Ivanovici, Oana; Lebeau, Gilles; Planchon, Fabrice
6
2021
New counterexamples to Strichartz estimates for the wave equation on a 2D model convex domain. (Nouveaux contre-exemples aux estimations de Strichartz pour l’équation des ondes dans un domaine convexe modèle bidimensionnel.) Zbl 1471.35066
Ivanovici, Oana; Lebeau, Gilles; Planchon, Fabrice
6
2021
Deuxième microlocalisation à croissance. Zbl 0518.58037
Lebeau, G.
5
1983
Singularities of solutions of semilinear wave equations. (Singularités des solutions d’équations d’ondes semi-linéaires.) Zbl 0776.35088
Lebeau, G.
4
1992
Micro-local approach to the control for the plates equation. Zbl 0785.49002
Burq, Nicolas; Lebeau, Gilles
4
1992
A strong uniqueness problem for the wave equation. (Un problème d’unicité forte pour l’équation des ondes.) Zbl 1126.58304
Lebeau, Gilles
4
1999
Annulation de la cohomologie hyperfonction de certains modules holonomes. Zbl 0423.58017
Lebeau, Gilles
4
1980
Geometric Fokker-Planck equations. Zbl 1087.58016
Lebeau, Gilles
4
2005
On the eigenvalues of a disturbed harmonic oscillator. (Sur les valeurs propres d’un oscillateur harmonique perturbé.) Zbl 0813.35141
Boutet de Monvel-Berthier, Anne; Boutet de Monvel, Louis; Lebeau, Gilles
4
1992
Remarks on Vasy’s operator with analytic coefficients. Zbl 1412.35207
Lebeau, Gilles; Zworski, Maciej
4
2019
Geometric Fokker-Planck equations. II: Maximal hypoelliptic estimates. (Equations de Fokker-Planck géométriques. II: Estimations hypoelliptiques maximales.) Zbl 1177.58018
Lebeau, Gilles
4
2007
Nonlinear optics and supercritical waves. (Optique non linéaire et ondes sur critiques.) Zbl 1069.35512
Lebeau, Gilles
4
2000
Elliptic Carleman estimates and applications to stabilization and controllability. Volume I. Dirichlet boundary conditions on Euclidean space. Zbl 1497.35005
Le Rousseau, Jérôme; Lebeau, Gilles; Robbiano, Luc
4
2022
Introduction to Carleman inequalities. (Introduction aux inéqualités de Carleman.) Zbl 1419.93022
Lebeau, Gilles
4
2015
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
3
1991
Control for hyperbolic equations. Zbl 0793.93072
Lebeau, Gilles
3
1993
The hypoelliptic Laplacian and analytic torsion. (Laplacien hypoelliptique et torsion analytique.) Zbl 1073.58024
Bismut, Jean-Michel; Lebeau, Gilles
3
2005
Microfonctions I-lagrangiennes. (I-Lagrangian microfunctions). Zbl 0659.46042
Delort, J.-M.; Lebeau, G.
3
1988
Contrôle et stabilisation hyperboliques. (Hyperbolic control and stabilisation). Zbl 0706.35004
Lebeau, G.
3
1990
On the second Painlevé equation: The connection formula via a Riemann- Hilbert problem and other results. Zbl 0651.34058
Lebeau, G.; Lochak, P.
3
1987
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
Sufficient stability conditions for time-varying networks of telegrapher’s equations or difference-delay equations. Zbl 1468.37054
Baratchart, L.; Fueyo, S.; Lebeau, G.; Pomet, J.-B.
3
2021
Wave propagation in dihedra. (Propagation des ondes dans les dièdres.) Zbl 0845.35061
Lebeau, Gilles
2
1995
Stabilization of the wave equation by the boundary. Zbl 0856.35074
Lebeau, Gilles; Robbiano, Luc
2
1996
Front d’onde des fonctions non linéaires et polynômes. (Wave front of nonlinear functions and polynomials). Zbl 0698.35101
Lebeau, G.
2
1989
Wave propagation in manifolds with corners. (Propagation des ondes dans les variétés à coins.) Zbl 0963.35110
Lebeau, G.
2
1996
Maxwell equations and impedance boundary operator for an absorbing convex obstacle. (Équations de Maxwell et opérateur d’impédance sur le bord d’un obstacle convexe absorbant.) Zbl 0780.35108
Lafitte, Olivier; Lebeau, Gilles
2
1993
Une propriété d’invariance pour le spectre des traces de solutions d’opérateurs différentiels. Zbl 0508.46032
Lebeau, Gilles
2
1982
Regularity of the Kelvin-Helmholtz problem for the 2d Euler equation. (Régularité du problème de Kelvin-Helmholtz pour l’équation d’Euler 2d.) Zbl 1062.35503
Lebeau, Gilles
2
2001
Strichartz estimates for the wave equation in a strictly convex domain. (Estimations de Strichartzpour l’équation des ondes dans un domaine strictment convexe.) Zbl 1382.35059
Ivanovici, Oana; Lebeau, Gilles; Planchon, Fabrice
2
2017
Sobolev spaces and Sobolev sheaves. (Espaces de Sobolev et faisceaux de Sobolev.) Zbl 1367.32012
Lebeau, Gilles
2
2016
Subanalytic sheaves and Sobolev spaces. Zbl 1353.32001
Guillermou, Stéphane; Lebeau, Gilles; Parusiński, Adam; Schapira, Pierre; Schneiders, Jean-Pierre
2
2016
Strichartz estimates for waves in the Friedlander model in dimension 3. (Estimations de Strichartz pour les ondes dans le modèle de Friedlander en dimension 3.) Zbl 1485.35037
Ivanovici, Oana; Lebeau, Gilles; Planchon, Fabrice
2
2014
The spectral functions method for acoustic wave diffraction by a stress-free wedge: theory and validation. Zbl 1416.76198
Chehade, Samar; Kamta Djakou, Audrey; Darmon, Michel; Lebeau, Gilles
2
2019
Interaction of weak singularities for the semilinear wave equations. (Interaction des singularités faibles pour les équations d’ondes semi- linéaires.) Zbl 0753.35053
Lebeau, Gilles
1
1991
Asymptotic analysis of the diffraction at a convex grating. (Analyse asymptotique de la diffraction par un réseau convexe.) Zbl 0828.35129
Abboud, Toufic; Ammari, Habib; Lebeau, Gilles
1
1995
Non holonomie dans un problème de diffraction. Zbl 0446.35020
Lebeau, G.
1
1980
Propagation des singularités Gevrey pour le problème de Dirichlet. (Propagation of Gevrey singularities for the Dirichlet problem). Zbl 0603.35015
Lebeau, G.
1
1986
Majorations de deuxièmes micro-supports. (Upper bounds for second micro-supports). Zbl 0604.58047
Delort, Jean-Marc; Lebeau, Gilles
1
1986
Dispersion for the wave equation inside strictly convex domains. II: The general case. Zbl 1523.35216
Ivanovici, Oana; Lascar, Richard; Lebeau, Gilles; Planchon, Fabrice
1
2023
Elliptic Carleman estimates and applications to stabilization and controllability. Volume II. General boundary conditions on Riemannian manifolds. Zbl 1497.35006
Le Rousseau, Jérôme; Lebeau, Gilles; Robbiano, Luc
7
2022
Elliptic Carleman estimates and applications to stabilization and controllability. Volume I. Dirichlet boundary conditions on Euclidean space. Zbl 1497.35005
Le Rousseau, Jérôme; Lebeau, Gilles; Robbiano, Luc
4
2022
Strichartz estimates for the wave equation on a 2D model convex domain. Zbl 1481.35090
Ivanovici, Oana; Lebeau, Gilles; Planchon, Fabrice
6
2021
New counterexamples to Strichartz estimates for the wave equation on a 2D model convex domain. (Nouveaux contre-exemples aux estimations de Strichartz pour l’équation des ondes dans un domaine convexe modèle bidimensionnel.) Zbl 1471.35066
Ivanovici, Oana; Lebeau, Gilles; Planchon, Fabrice
6
2021
Sufficient stability conditions for time-varying networks of telegrapher’s equations or difference-delay equations. Zbl 1468.37054
Baratchart, L.; Fueyo, S.; Lebeau, G.; Pomet, J.-B.
3
2021
Smeared Coulomb potential orbitals. I: Asymptotic expansion. Zbl 1466.81141
Cassam-Chenaï, Patrick; Lebeau, Gilles
1
2021
Diffusion approximation for Fokker Planck with heavy tail equilibria: a spectral method in dimension 1. Zbl 1422.60144
Lebeau, Gilles; Puel, Marjolaine
8
2019
Remarks on Vasy’s operator with analytic coefficients. Zbl 1412.35207
Lebeau, Gilles; Zworski, Maciej
4
2019
The spectral functions method for acoustic wave diffraction by a stress-free wedge: theory and validation. Zbl 1416.76198
Chehade, Samar; Kamta Djakou, Audrey; Darmon, Michel; Lebeau, Gilles
2
2019
2D elastic plane-wave diffraction by a stress-free wedge of arbitrary angle. Zbl 1452.65367
Chehade, Samar; Darmon, Michel; Lebeau, Gilles
1
2019
A proof of a result of L. Boutet de Monvel. Zbl 1426.35095
Lebeau, Gilles
1
2018
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
37
2017
Dispersion for the wave and the Schrödinger equations outside strictly convex obstacles and counterexamples. (Estimations de dispersion pour l’équation des ondes et de Schrödinger à l’extérieur des obstacles strictement convexes et contre-exemples.) Zbl 1375.35491
Ivanovici, Oana; Lebeau, Gilles
10
2017
Strichartz estimates for the wave equation in a strictly convex domain. (Estimations de Strichartzpour l’équation des ondes dans un domaine strictment convexe.) Zbl 1382.35059
Ivanovici, Oana; Lebeau, Gilles; Planchon, Fabrice
2
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
30
2016
Spectral inequality and optimal cost of controllability for the Stokes system. Zbl 1357.35178
Chaves-Silva, Felipe W.; Lebeau, Gilles
17
2016
Sobolev spaces and Sobolev sheaves. (Espaces de Sobolev et faisceaux de Sobolev.) Zbl 1367.32012
Lebeau, Gilles
2
2016
Subanalytic sheaves and Sobolev spaces. Zbl 1353.32001
Guillermou, Stéphane; Lebeau, Gilles; Parusiński, Adam; Schapira, Pierre; Schneiders, Jean-Pierre
2
2016
Introduction to Carleman inequalities. (Introduction aux inéqualités de Carleman.) Zbl 1419.93022
Lebeau, Gilles
4
2015
Dispersion for the wave equation inside strictly convex domains. I: The Friedlander model case. Zbl 1310.35151
Ivanovici, Oana; Lebeau, Gilles; Planchon, Fabrice
26
2014
Probabilistic Sobolev embeddings, applications to eigenfunctions estimates. Zbl 1357.46024
Burq, Nicolas; Lebeau, Gilles
8
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
6
2014
Strichartz estimates for waves in the Friedlander model in dimension 3. (Estimations de Strichartz pour les ondes dans le modèle de Friedlander en dimension 3.) Zbl 1485.35037
Ivanovici, Oana; Lebeau, Gilles; Planchon, Fabrice
2
2014
Probabilistic Sobolev embeddings and applications. (Injections de Sobolev probabilistes et applications.) Zbl 1296.46031
Burq, Nicolas; Lebeau, Gilles
27
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
115
2012
Gibbs/Metropolis algorithms on a convex polytope. Zbl 1254.60079
Diaconis, Persi; Lebeau, Gilles; Michel, Laurent
7
2012
Geometric analysis for the Metropolis algorithm on Lipschitz domains. Zbl 1227.60093
Diaconis, Persi; Lebeau, Gilles; Michel, Laurent
22
2011
Semi-classical analysis of a random walk on a manifold. Zbl 1187.58033
Lebeau, Gilles; Michel, Laurent
16
2010
Experimental study of the HUM control operator for linear waves. Zbl 1190.35011
Lebeau, Gilles; Nodet, Maëlle
8
2010
Analysis of the HUM control operator and exact controllability for semilinear waves in uniform time. Zbl 1194.35268
Dehman, B.; Lebeau, G.
29
2009
Micro-local analysis for the Metropolis algorithm. Zbl 1178.60053
Diaconis, Persi; Lebeau, Gilles
10
2009
Global existence for energy critical waves in 3-D domains. Zbl 1204.35119
Burq, Nicolas; Lebeau, Gilles; Planchon, Fabrice
56
2008
The hypoelliptic Laplacian and Ray-Singer metrics. Zbl 1156.58001
Bismut, Jean-Michel; Lebeau, Gilles
27
2008
Singular optimal control for a transport-diffusion equation. Zbl 1135.35017
Guerrero, S.; Lebeau, G.
28
2007
Geometric Fokker-Planck equations. II: Maximal hypoelliptic estimates. (Equations de Fokker-Planck géométriques. II: Estimations hypoelliptiques maximales.) Zbl 1177.58018
Lebeau, Gilles
4
2007
Stabilization and control for the nonlinear Schrödinger equation on a compact surface. Zbl 1127.93015
Dehman, B.; Gérard, P.; Lebeau, G.
67
2006
Diffraction by an elastic wedge with stress-free boundary: existence and uniqueness. Zbl 1149.35405
Kamotski, Vladimir V.; Lebeau, Gilles
10
2006
Loss of regularity for super critical wave equations. (Perte de régularité pour les équations d’ondes sur-critiques.) Zbl 1071.35020
Lebeau, Gilles
36
2005
On 2D Rayleigh-Taylor instabilities. Zbl 1083.35114
Kamotski, V.; Lebeau, G.
10
2005
Geometric Fokker-Planck equations. Zbl 1087.58016
Lebeau, Gilles
4
2005
The hypoelliptic Laplacian and analytic torsion. (Laplacien hypoelliptique et torsion analytique.) 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
72
2003
The spectrum of the damped wave operator for a bounded domain in \(\mathbb R^2\). Zbl 1061.35064
Asch, Mark; Lebeau, Gilles
17
2003
On the regularity of the Kelvin-Helmholtz problem for the 2D Euler equation. (Régularité du problème de Kelvin-Helmholtz pour l’équation d’Euler 2D.) Zbl 1070.35504
Lebeau, Gilles
20
2002
Smoothness and uniqueness for the Stokes problem. (Régularité et unicité pour le problème de Stokes.) Zbl 1090.35143
Fabre, Caroline; Lebeau, Gilles
13
2002
Microlocal defect measures, application to the Lamé system. (Mesures de défaut de compacité, application au système de Lamé.) Zbl 1043.35009
Burq, Nicolas; Lebeau, Gilles
31
2001
Nonlinear optics and supercritical wave equation. Zbl 1034.35137
Lebeau, Gilles
27
2001
Regularity of the Kelvin-Helmholtz problem for the 2d Euler equation. (Régularité du problème de Kelvin-Helmholtz pour l’équation d’Euler 2d.) Zbl 1062.35503
Lebeau, Gilles
2
2001
The wave equation with oscillating density: Observability at low frequency. Zbl 0953.35083
Lebeau, Gilles
7
2000
Nonlinear optics and supercritical waves. (Optique non linéaire et ondes sur critiques.) Zbl 1069.35512
Lebeau, Gilles
4
2000
Decay rates for the three-dimensional linear system of thermoelasticity. Zbl 0939.74016
Lebeau, Gilles; Zuazua, Enrique
78
1999
Nodal sets of sums of eigenfunctions. Zbl 0946.35055
Jerison, David; Lebeau, Gilles
63
1999
Diffraction by an immersed elastic wedge. Zbl 0942.35002
Croisille, Jean-Pierre; Lebeau, Gilles
12
1999
A strong uniqueness problem for the wave equation. (Un problème d’unicité forte pour l’équation des ondes.) Zbl 1126.58304
Lebeau, Gilles
4
1999
Null-controllability of a system of linear thermoelasticity. Zbl 1064.93501
Lebeau, Gilles; Zuazua, Enrique
94
1998
Geometrical aspects of exact boundary controllability for the wave equation – a numerical study. Zbl 1052.93501
Asch, M.; Lebeau, G.
17
1998
Stabilization of the wave equation by the boundary. (Stabilisation de l’équation des ondes par le bord.) Zbl 0884.58093
Lebeau, Gilles; Robbiano, Luc
99
1997
On the non uniform decay of the energy in the system of linear thermoelasticity. (Sur la décroissance non uniforme de l’énergie dans le système de la thermoélasticité linéaire.) Zbl 0873.35011
Lebeau, Gilles; Zuazua, Enrique
16
1997
Wave propagation in manifolds with corners. (Propagation des ondes dans les variétés à coins.) Zbl 0891.35072
Lebeau, Gilles
12
1997
Damped wave equation. (Equation des ondes amorties.) Zbl 0863.58068
Lebeau, G.
169
1996
Unique continuation property for solutions of Stokes’ equations. (Prolongement unique des solutions de l’equation de Stokes.) Zbl 0849.35098
Fabre, Caroline; Lebeau, Gilles
70
1996
Stabilization of the wave equation by the boundary. Zbl 0856.35074
Lebeau, Gilles; Robbiano, Luc
2
1996
Wave propagation in manifolds with corners. (Propagation des ondes dans les variétés à coins.) Zbl 0963.35110
Lebeau, G.
2
1996
Exact control of the heat equation. (Contrôle exact de l’équation de la chaleur.) Zbl 0819.35071
Lebeau, G.; Robbiano, L.
351
1995
Exact control of the heat equation. (Contrôle exact de l’équation de la chaleur.) Zbl 0884.35049
Lebeau, G.; Robbiano, L.
14
1995
Wave propagation in dihedra. (Propagation des ondes dans les dièdres.) Zbl 0845.35061
Lebeau, Gilles
2
1995
Asymptotic analysis of the diffraction at a convex grating. (Analyse asymptotique de la diffraction par un réseau convexe.) Zbl 0828.35129
Abboud, Toufic; Ammari, Habib; Lebeau, Gilles
1
1995
Diffraction by a convex obstacle. (Diffraction par un convexe.) Zbl 0831.35121
Harge, Thierry; Lebeau, Gilles
11
1994
Damped wave equations. (Équations des ondes amorties.) Zbl 0887.35091
Lebeau, G.
9
1994
Diffraction of a wave at a corner. (Diffusion d’une onde par un coin.) Zbl 0779.35063
Gérard, Patrick; Lebeau, Gilles
14
1993
Control for hyperbolic equations. Zbl 0793.93072
Lebeau, Gilles
3
1993
Maxwell equations and impedance boundary operator for an absorbing convex obstacle. (Équations de Maxwell et opérateur d’impédance sur le bord d’un obstacle convexe absorbant.) Zbl 0780.35108
Lafitte, Olivier; Lebeau, Gilles
2
1993
Sharp sufficient conditions for the observation, control, and stabilization of waves from the boundary. Zbl 0786.93009
Bardos, Claude; Lebeau, Gilles; Rauch, Jeffrey
704
1992
Control of the Schrödinger equation. (Contrôle de l’équation de Schrödinger.) Zbl 0838.35013
Lebeau, G.
126
1992
Analytic control. I: A priori estimates. (Contrôle analytique. I: Estimations à priori.) Zbl 0780.93053
Lebeau, Gilles
20
1992
Control for hyperbolic equations. Zbl 0779.35005
Lebeau, Gilles
11
1992
Singularities of solutions of semilinear wave equations. (Singularités des solutions d’équations d’ondes semi-linéaires.) Zbl 0776.35088
Lebeau, G.
4
1992
Micro-local approach to the control for the plates equation. Zbl 0785.49002
Burq, Nicolas; Lebeau, Gilles
4
1992
On the eigenvalues of a disturbed harmonic oscillator. (Sur les valeurs propres d’un oscillateur harmonique perturbé.) Zbl 0813.35141
Boutet de Monvel-Berthier, Anne; Boutet de Monvel, Louis; Lebeau, Gilles
4
1992
Complex immersions and Quillen metrics. Zbl 0784.32010
Bismut, Jean-Michel; Lebeau, Gilles
100
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
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
3
1991
Interaction of weak singularities for the semilinear wave equations. (Interaction des singularités faibles pour les équations d’ondes semi- linéaires.) Zbl 0753.35053
Lebeau, Gilles
1
1991
Contrôle et stabilisation hyperboliques. (Hyperbolic control and stabilisation). Zbl 0706.35004
Lebeau, G.
3
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.
10
1989
Microlocal ideas in control and stabilization. Zbl 0676.93040
Bardos, Claude; Lebeau, Gilles; Rauch, Jeffrey
6
1989
Immersions complexes et métriques de Quillen. (Complex immersions and Quillen metrics). Zbl 0681.53034
Bismut, Jean-Michel; Lebeau, Gilles
6
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.
37
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.
21
1987
On the second Painlevé equation: The connection formula via a Riemann- Hilbert problem and other results. Zbl 0651.34058
Lebeau, G.; Lochak, P.
3
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
Propagation des singularités Gevrey pour le problème de Dirichlet. (Propagation of Gevrey singularities for the Dirichlet problem). Zbl 0603.35015
Lebeau, G.
1
1986
Majorations de deuxièmes micro-supports. (Upper bounds for second micro-supports). Zbl 0604.58047
Delort, Jean-Marc; Lebeau, Gilles
1
1986
Deuxième microlocalisation sur les sous variétés isotropes. Zbl 0539.58038
Lebeau, Gilles
17
1985
A wave problem in a half-space with a unilateral constraint at the boundary. Zbl 0559.35043
Lebeau, G.; Schatzman, M.
42
1984
Regularité Gevrey 3 pour la diffraction. Zbl 0559.35019
Lebeau, G.
13
1984
...and 6 more Documents
all top 5

Cited by 1,734 Authors

60 Zuazua, Enrique
39 Cavalcanti, Marcelo Moreira
38 Lebeau, Gilles
33 Ammari, Kais
31 Burq, Nicolas
29 Domingos Cavalcanti, Valéria Neves
26 Ma, Xiaonan
26 Tcheugoué Tébou, Louis Roder
24 Bismut, Jean-Michel
24 Münch, Arnaud
23 Fernández-Cara, Enrique
23 Léautaud, Matthieu
22 Lasiecka, Irena
21 Ervedoza, Sylvain
20 Nicaise, Serge
20 Rao, Bopeng
18 Beauchard, Karine
18 Laurent, Camille
18 Oksanen, Lauri
18 Yamamoto, Masahiro
18 Zhang, Weiping
17 Lü, Qi
17 Maniar, Lahcen
17 Trélat, Emmanuel
17 Tucsnak, Marius
17 Zhang, Xu
16 Li, Tatsien
16 Robbiano, Luc
15 Alabau-Boussouira, Fatiha
15 Bellassoued, Mourad
15 Masson, Roland
15 Rosier, Lionel
15 Takahashi, Takéo
15 Wehbe, Ali
14 Tautenhahn, Martin
13 Benabdallah, Assia
13 de Teresa, Luz
13 Le Rousseau, Jérôme H.
13 Royer, Julien
12 Burman, Erik
12 Chaves-Silva, Felipe Wallison
12 Dardé, Jérémi
12 Fu, Xiaoyu
12 González-Burgos, Manuel
12 Imanuvilov, Oleg Yu.
12 Ivanovici, Oana
12 Triggiani, Roberto
12 Zhang, Qiong
11 Aouadi, Moncef
11 Kian, Yavar
11 Le Balc’h, Kévin
11 Phung, Kim Dang
11 Privat, Yannick
11 Wang, Gengsheng
10 Aloui, Lassaad
10 Gonzalez Martinez, Victor Hugo
10 Marinescu, George
10 Puel, Jean-Pierre
10 Quintanilla de Latorre, Ramón
10 Sun, Chenmin
10 Tzvetkov, Nikolay
10 Zworski, Maciej
9 Ammar-Khodja, Farid
9 Boyer, Franck
9 Brenner, Konstantin
9 Choulli, Mourad
9 Coron, Jean-Michel
9 Fragnelli, Genni
9 Lissy, Pierre
9 Martinez, Patrick
9 Miller, Luc
9 Pignotti, Cristina
9 Rivière, Gabriel
9 Rüland, Angkana
9 Veselić, Ivan
9 Vodev, Georgi
8 Cannarsa, Piermarco
8 Corrêa, Wellington José
8 Glass, Olivier
8 Guerrero, Sergio
8 Hassine, Fathi
8 Hernández-Santamaría, Víctor
8 Ning, Zhenhu
8 Pazoto, Ademir Fernando
8 Raymond, Jean-Pierre
8 Renard, Yves
8 Sjöstrand, Johannes
8 Vancostenoble, Judith
8 Xiang, Shengquan
7 Akil, Mohammad
7 Bárcena-Petisco, Jon Asier
7 Cîndea, Nicolae
7 Daoulatli, Moez
7 Droniou, Jérôme
7 Han, Zhongjie
7 Liu, Zhuangyi
7 Ludwig, Ursula Beate
7 Macià, Fabricio
7 Micu, Sorin
7 Muñoz Rivera, Jaime Edilberto
...and 1,634 more Authors
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Cited in 312 Serials

113 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
103 Journal of Differential Equations
92 Comptes Rendus. Mathématique. Académie des Sciences, Paris
76 Journal of Mathematical Analysis and Applications
58 SIAM Journal on Control and Optimization
55 Journal de Mathématiques Pures et Appliquées. Neuvième Série
53 Communications in Partial Differential Equations
44 Journal of Functional Analysis
44 Mathematical Control and Related Fields
31 Communications in Mathematical Physics
31 Evolution Equations and Control Theory
30 Mathematical Methods in the Applied Sciences
30 Systems & Control Letters
28 Applicable Analysis
27 Applied Mathematics and Optimization
25 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
20 Archive for Rational Mechanics and Analysis
20 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
20 Journal of the European Mathematical Society (JEMS)
18 Annales de l’Institut Fourier
18 MCSS. Mathematics of Control, Signals, and Systems
18 Journal of Evolution Equations
17 SIAM Journal on Mathematical Analysis
16 ZAMP. Zeitschrift für angewandte Mathematik und Physik
16 Duke Mathematical Journal
16 Mathematische Nachrichten
16 Transactions of the American Mathematical Society
15 Advances in Mathematics
15 Mathematische Zeitschrift
15 Discrete and Continuous Dynamical Systems
15 Pure and Applied Analysis
14 Inventiones Mathematicae
14 Journal of Optimization Theory and Applications
14 Mathematische Annalen
14 Analysis & PDE
13 Journal of Computational Physics
13 Journal of Mathematical Physics
12 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
12 Proceedings of the American Mathematical Society
12 The Journal of Geometric Analysis
12 Journal of Mathematical Sciences (New York)
12 Annales Henri Poincaré
12 Communications on Pure and Applied Analysis
12 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
11 Automatica
11 Chinese Annals of Mathematics. Series B
11 Applied Mathematics Letters
11 Journal of Dynamical and Control Systems
11 Séminaire Laurent Schwartz. EDP et Applications
10 Computer Methods in Applied Mechanics and Engineering
10 Inverse Problems
10 Applied Mathematics and Computation
10 Numerische Mathematik
10 Acta Applicandae Mathematicae
10 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
10 Journal de l’École Polytechnique – Mathématiques
9 Discrete and Continuous Dynamical Systems. Series B
8 Journal of Statistical Physics
8 Journal of Computational and Applied Mathematics
8 Journal of Dynamics and Differential Equations
8 Acta Mathematica Sinica. English Series
8 Communications in Contemporary Mathematics
8 Discrete and Continuous Dynamical Systems. Series S
7 Computers & Mathematics with Applications
7 Journal d’Analyse Mathématique
7 Nonlinearity
7 Asymptotic Analysis
7 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
7 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
7 Journal of the Institute of Mathematics of Jussieu
7 Inverse Problems and Imaging
7 Annales Henri Lebesgue
6 Memoirs of the American Mathematical Society
6 Advances in Computational Mathematics
6 Science China. Mathematics
5 Communications on Pure and Applied Mathematics
5 Israel Journal of Mathematics
5 Bulletin de la Société Mathématique de France
5 Publications of the Research Institute for Mathematical Sciences, Kyoto University
5 Quarterly of Applied Mathematics
5 Journal of the American Mathematical Society
5 European Journal of Applied Mathematics
5 The Annals of Applied Probability
5 Calculus of Variations and Partial Differential Equations
5 St. Petersburg Mathematical Journal
5 Journal of Inverse and Ill-Posed Problems
5 Vietnam Journal of Mathematics
5 Journal of Systems Science and Complexity
5 S\(\vec{\text{e}}\)MA Journal
5 SN Partial Differential Equations and Applications
4 Letters in Mathematical Physics
4 Integral Equations and Operator Theory
4 International Journal of Mathematics
4 SIAM Journal on Applied Mathematics
4 NoDEA. Nonlinear Differential Equations and Applications
4 The Journal of Fourier Analysis and Applications
4 European Journal of Control
4 Computational Geosciences
4 Nonlinear Analysis. Real World Applications
4 Portugaliae Mathematica. Nova Série
...and 212 more Serials
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Cited in 55 Fields

1,571 Partial differential equations (35-XX)
873 Systems theory; control (93-XX)
250 Mechanics of deformable solids (74-XX)
235 Global analysis, analysis on manifolds (58-XX)
170 Fluid mechanics (76-XX)
157 Numerical analysis (65-XX)
148 Operator theory (47-XX)
111 Calculus of variations and optimal control; optimization (49-XX)
68 Probability theory and stochastic processes (60-XX)
68 Quantum theory (81-XX)
61 Differential geometry (53-XX)
59 Dynamical systems and ergodic theory (37-XX)
51 Several complex variables and analytic spaces (32-XX)
43 Optics, electromagnetic theory (78-XX)
40 Ordinary differential equations (34-XX)
30 Biology and other natural sciences (92-XX)
28 Harmonic analysis on Euclidean spaces (42-XX)
25 Statistical mechanics, structure of matter (82-XX)
24 Functional analysis (46-XX)
22 Algebraic geometry (14-XX)
22 Integral equations (45-XX)
19 Manifolds and cell complexes (57-XX)
18 Real functions (26-XX)
17 Functions of a complex variable (30-XX)
16 Classical thermodynamics, heat transfer (80-XX)
14 Number theory (11-XX)
12 Mechanics of particles and systems (70-XX)
11 Special functions (33-XX)
10 Operations research, mathematical programming (90-XX)
8 Topological groups, Lie groups (22-XX)
8 Difference and functional equations (39-XX)
8 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
7 General and overarching topics; collections (00-XX)
7 Geophysics (86-XX)
6 \(K\)-theory (19-XX)
6 Statistics (62-XX)
6 Information and communication theory, circuits (94-XX)
5 Combinatorics (05-XX)
5 Relativity and gravitational theory (83-XX)
4 History and biography (01-XX)
4 Linear and multilinear algebra; matrix theory (15-XX)
4 Measure and integration (28-XX)
4 Integral transforms, operational calculus (44-XX)
4 Convex and discrete geometry (52-XX)
4 Computer science (68-XX)
3 Potential theory (31-XX)
3 Abstract harmonic analysis (43-XX)
3 Algebraic topology (55-XX)
2 Approximations and expansions (41-XX)
2 Geometry (51-XX)
1 Commutative algebra (13-XX)
1 Nonassociative rings and algebras (17-XX)
1 Category theory; homological algebra (18-XX)
1 Group theory and generalizations (20-XX)
1 Astronomy and astrophysics (85-XX)

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