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Author ID: gerard.patrick Recent zbMATH articles by "Gerard, Patrick"
Published as: Gérard, Patrick; Gérard, P.; Gerard, Patrick; Gerard, P.
Homepage: http://www.math.u-psud.fr/~pgerard/
External Links: MGP · Wikidata · dblp · GND · IdRef · theses.fr
Member of Collective: Bourbaki, Nicolas
Documents Indexed: 112 Publications since 1986, including 3 Books
Co-Authors: 37 Co-Authors with 79 Joint Publications
1,148 Co-Co-Authors
all top 5

Serials

12 Séminaire Équations aux Dérivées Partielles
5 Séminaire Laurent Schwartz. EDP et Applications
3 Communications on Pure and Applied Mathematics
3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
2 Archive for Rational Mechanics and Analysis
2 American Journal of Mathematics
2 Bulletin de la Société Mathématique de France
2 Duke Mathematical Journal
2 Inventiones Mathematicae
2 Journal of Functional Analysis
2 Communications in Partial Differential Equations
2 Journal de Mathématiques Pures et Appliquées. Neuvième Série
2 SIAM Journal on Mathematical Analysis
2 Mathematical Research Letters
2 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Journal d’Analyse Mathématique
1 Letters in Mathematical Physics
1 Mathematical Methods in the Applied Sciences
1 Studia Mathematica
1 Annales de l’Institut Fourier
1 Gazette des Mathématiciens
1 Journal of the London Mathematical Society. Second Series
1 Mathematische Zeitschrift
1 Mathematika
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Quarterly of Applied Mathematics
1 Transactions of the American Mathematical Society
1 Journal of the American Mathematical Society
1 IMRN. International Mathematics Research Notices
1 Geometric and Functional Analysis. GAFA
1 Communications in Statistics. Theory and Methods
1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
1 Annales Henri Poincaré
1 Journal of Nonlinear Mathematical Physics
1 Journal of the Institute of Mathematics of Jussieu
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
1 Journal of Hyperbolic Differential Equations
1 Astérisque
1 Graduate Studies in Mathematics
1 Kinetic and Related Models
1 Analysis & PDE
1 Science China. Mathematics
1 Journal of Spectral Theory
1 Annals of PDE
1 Tunisian Journal of Mathematics
1 Pure and Applied Analysis
1 Savoirs Actuels

Publications by Year

Citations contained in zbMATH Open

84 Publications have been cited 2,041 times in 1,394 Documents Cited by Year
Homogenization limits and Wigner transforms. Zbl 0881.35099
Gérard, Patrick; Markowich, Peter A.; Mauser, Norbert J.; Poupaud, Frédéric
196
1997
High frequency approximation of solutions to critical nonlinear wave equations. Zbl 0919.35089
Bahouri, Hajer; Gérard, Patrick
186
1999
Microlocal defect measures. Zbl 0770.35001
Gérard, Patrick
185
1991
Strichartz inequalities and the nonlinear Schrödinger equation on compact manifolds. Zbl 1067.58027
Burq, N.; Gérard, P.; Tzvetkov, N.
164
2004
Ergodic properties of eigenfunctions for the Dirichlet problem. Zbl 0788.35103
Gérard, Patrick; Leichtnam, Eric
90
1993
A necessary and sufficient condition for the exact controllability of the wave equation. (Condition nécessaire et suffisante pour la contrôlabilité exacte des ondes.) Zbl 0906.93008
Burq, Nicolas; Gérard, Patrick
81
1997
Restrictions of the Laplace-Beltrami eigenfunctions to submanifolds. Zbl 1131.35053
Burq, N.; Gérard, P.; Tzvetkov, N.
64
2007
Pseudo-differential operators and the Nash-Moser theorem. (Opérateurs pseudo-différentiels et théorème de Nash-Moser.) Zbl 0791.47044
Alinhac, Serge; Gérard, Patrick
63
1991
Bilinear eigenfunction estimates and the nonlinear Schrödinger equation on surfaces. Zbl 1092.35099
Burq, N.; Gérard, P.; Tzvetkov, N.
62
2005
Pseudo-differential operators and the Nash–Moser theorem. Transl. from the French by Stephen S. Wilson. Zbl 1121.47033
Alinhac, Serge; Gérard, Patrick
56
2007
An instability property of the nonlinear Schrödinger equation on \(S^d\). Zbl 1003.35113
Burq, N.; Gérard, P.; Tzvetkov, N.
52
2002
Description of the lack of compactness for the Sobolev imbedding. Zbl 0907.46027
Gérard, P.
52
1998
Stabilization and control for the nonlinear Schrödinger equation on a compact surface. Zbl 1127.93015
Dehman, B.; Gérard, P.; Lebeau, G.
49
2006
The cubic Szegő equation. (L’équation de Szegő cubique.) Zbl 1228.35225
Gérard, Patrick; Grellier, Sandrine
44
2010
Multilinear eigenfunction estimates and global existence for the three dimensional nonlinear Schrödinger equations. Zbl 1116.35109
Burq, Nicolas; Gérard, Patrick; Tzvetkov, Nikolay
44
2005
Effective integrable dynamics for a certain nonlinear wave equation. Zbl 1268.35013
Gérard, Patrick; Grellier, Sandrine
39
2012
Besov spaces and Strichartz estimates on the Heisenberg group. (Espaces de Besov et estimations de Strichartz généralisées sur le groupe de Heisenberg.) Zbl 0965.22010
Bahouri, Hajer; Gérard, Patrick; Xu, Chao-Jiang
38
2000
The Cauchy problem for the Gross–Pitaevskii equation. Zbl 1122.35133
Gérard, P.
38
2006
Oscillations of concentration effects in semilinear dispersive wave equations. Zbl 0868.35075
Gérard, Patrick
37
1996
On nonlinear Schrödinger equations in exterior domains. Zbl 1061.35126
Burq, N.; Gérard, P.; Tzvetkov, N.
36
2004
Semi-classical measures and eigenvalue crossings. (Mesures semi-classiques et croisement de modes.) Zbl 0996.35004
Fermanian-Kammerer, Clotilde; Gérard, Patrick
32
2002
Sharp Sobolev inequalities. (Inégalités de Sobolev précisées.) Zbl 1066.46501
Gerard, Patrick; Meyer, Yves; Oru, Frédérique
32
1997
Mesures semi-classiques et ondes de Bloch. (Semiclassical measures and Bloch waves). Zbl 0739.35096
Gérard, P.
25
1991
A Landau-Zener formula for non-degenerated involutive codimension 3 crossings. Zbl 1049.81029
Fermanian Kammerer, Clotilde; Gérard, Patrick
23
2003
Two singular dynamics of the nonlinear Schrödinger equation on a plane domain. Zbl 1044.35084
Burq, N.; Gérard, P.; Tzvetkov, N.
22
2003
Invariant tori for the cubic Szegö equation. Zbl 1252.35026
Gérard, Patrick; Grellier, Sandrine
22
2012
The cubic Szegő equation and Hankel operators. Zbl 1410.37001
Gérard, Patrick; Grellier, Sandrine
17
2017
Orbital stability of traveling waves for the one-dimensional Gross-Pitaevskii equation. Zbl 1232.35152
Gérard, Patrick; Zhang, Zhifei
16
2009
An explicit formula for the cubic Szegő equation. Zbl 1318.37024
Gérard, Patrick; Grellier, Sandrine
16
2015
Averaging regularity results for PDEs under transversality assumptions. Zbl 0832.35020
Gérard, Patrick; Golse, François
14
1992
Moyennisation et régularité deux-microlocale. (Second microlocal averaging and regularity). Zbl 0725.35003
Gérard, Patrick
13
1990
Global solutions for the nonlinear Schrödinger equation on three-dimensional compact manifolds. Zbl 1180.35475
Burq, N.; Gérard, P.; Tzvetkov, N.
13
2007
The Gross-Pitaevskii equation in the energy space. Zbl 1166.35373
Gérard, Patrick
13
2008
A two-soliton with transient turbulent regime for the cubic half-wave equation on the real line. Zbl 1397.35062
Gérard, Patrick; Lenzmann, Enno; Pocovnicu, Oana; Raphaël, Pierre
12
2018
Diffraction of a wave at a corner. (Diffusion d’une onde par un coin.) Zbl 0779.35063
Gérard, Patrick; Lebeau, Gilles
12
1993
Profile decomposition for the wave equation outside a convex obstacle. Zbl 0980.35088
Gallagher, Isabelle; Gérard, Patrick
12
2001
On the radius of analyticity of solutions to the cubic Szegő equation. Zbl 1332.35058
Gérard, Patrick; Guo, Yanqiu; Titi, Edriss S.
12
2015
The Cauchy problem for the nonlinear Schrödinger equation on a compact manifold. Zbl 1362.35282
Burq, Nicolas; Gérard, Patrick; Tzvetkov, Nikolay
10
2003
On the cubic lowest Landau level equation. Zbl 1412.82034
Gérard, Patrick; Germain, Pierre; Thomann, Laurent
9
2019
Recent results concerning two-dimensional incompressible perfect fluids (after J.-Y. Chemin and J.-M. Delort). (Résultats récents sur les fluides parfaits incompressibles bidimensionnels (d’après J.-Y. Chemin et J.-M. Delort).) Zbl 1154.76321
Gérard, Patrick
9
1992
On the spectrum of the Lax operator of the Benjamin-Ono equation on the torus. Zbl 1452.37070
Gérard, Patrick; Kappeler, Thomas; Topalov, Petar
9
2020
Propagation de la régularité locale de solutions d’équations hyperboliques non linéaires. (Propagation of local smoothness for solutions of nonlinear hyperbolic equations). Zbl 0617.35079
Gerard, P.; Rauch, J.
7
1987
Multilinear estimates for the Laplace spectral projectors on compact manifolds. Zbl 1040.58011
Burq, Nicolas; Gérard, Patrick; Tzvetkov, Nikolay
7
2004
Remarks on the semiclassical analysis of the nonlinear Schrödinger equation. (Remarques sur l’analyse semi-classique de l’équation de Schrödinger non linéaire.) Zbl 0874.35111
Gérard, Patrick
6
1993
Nonlinear Schrödinger equations in inhomogeneous media: wellposedness and illposedness of the Cauchy problem. Zbl 1106.35096
Gérard, Patrick
6
2006
Nonlinear Schrödinger equation on four-dimensional compact manifolds. Zbl 1183.35251
Gérard, Patrick; Pierfelice, Vittoria
6
2010
An inverse problem for self-adjoint positive Hankel operators. Zbl 1338.47024
Gérard, Patrick; Pushnitski, Alexander
6
2015
On the integrability of the Benjamin-Ono equation on the torus. Zbl 1471.35354
Gérard, Patrick; Kappeler, Thomas
6
2021
Wigner measure propagation and conical singularity for general initial data. Zbl 1288.35408
Fermanian-Kammerer, Clotilde; Gérard, Patrick; Lasser, Caroline
6
2013
Sensitivity phenomena for certain thin elastic shells with edges. Zbl 0989.74047
Gerard, Patrick; Sanchez-Palencia, Evariste
5
2000
A Lax pair structure for the half-wave maps equation. Zbl 1393.37074
Gérard, Patrick; Lenzmann, Enno
5
2018
The Schrödinger equation on a compact manifold: Strichartz estimates and applications. Zbl 1043.58019
Burq, Nicolas; Gérard, Patrick; Tzvetkov, Nikolay
4
2001
The Cauchy problem for the nonlinear Schrödinger equation on compact manifolds. Zbl 1084.35086
Burq, N.; Gérard, P.; Tzvetkov, N.
4
2004
Moyennes de solutions d’équations aux dérivées partielles. (Means of solutions of partial differential equations). Zbl 0657.35020
Gerard, P.
3
1987
Concentration effects in critical nonlinear wave equation and scattering theory. Zbl 0926.35090
Bahouri, Hajer; Gérard, Patrick
3
1997
Semiclassical measures and crossing of modes. (Mesures semi-classiques et croisement de modes.) Zbl 1055.81534
Fermanian Kammerer, Clotilde; Gerard, Patrick
3
2000
Solutions conormales analytiques d’équations hyperboliques non linéaires. (Conormal analytic solutions of nonlinear hyperbolic equations). Zbl 0639.35054
Gerard, Patrick
3
1988
The Schrödinger-Poisson system on the sphere. Zbl 1231.35229
Gérard, Patrick; Méhats, Florian
3
2011
Nonlinear Schrödinger equations on compact manifolds. Zbl 1076.35115
Gérard, P.
3
2005
Stabilization of wave equations on the torus with rough dampings. Zbl 1462.35070
Burq, Nicolas; Gérard, Patrick
3
2020
A drift homogenization problem revisited. Zbl 1270.35058
Briane, Marc; Gérard, Patrick
3
2012
Inverse spectral problems for compact Hankel operators. Zbl 1304.47038
Gérard, Patrick; Grellier, Sandrine
3
2014
On the growth of Sobolev norms for the cubic Szegő equation. Zbl 1355.35022
Gérard, Patrick; Grellier, Sandrine
2
2016
A compactness result for generalized Radon transforms. Zbl 0864.44001
Gérard, Patrick; Golse, François; Wennberg, Bernt
2
1996
The cubic Szegö equation. (L’equation de Szegö cubique.) Zbl 1213.35397
Gérard, Patrick; Grellier, Sandrine
2
2010
Weighted model spaces and Schmidt subspaces of Hankel operators. Zbl 1448.47040
Gérard, Patrick; Pushnitski, Alexander
2
2020
On the analytic Birkhoff normal form of the Benjamin-Ono equation and applications. Zbl 07461241
Gérard, Patrick; Kappeler, Thomas; Topalov, Petar
2
2022
A mean-field toy model for resonant transport. Zbl 1194.35462
Gerard, Patrick; Pallard, Christophe
1
2010
Two-scale Wigner measures and the Landau-Zener formulas. Zbl 1322.81059
Kammerer, C. Fermanian; Gérard, P.
1
2004
A Landau-Zener formula for a generic crossing in codimension 2. (Une formule de Landau-Zener pour un croisement générique de codimension 2.) Zbl 1292.35252
Fermanian Kammerer, Clotilde; Gérard, Patrick
1
2002
An introduction to the cubic Szegö equation. Zbl 1348.35232
Gérard, Patrick
1
2013
A microlocal version of concentration-compactness. Zbl 0868.35005
Gérard, Patrick
1
1996
Compacité par compensation et régularité 2-microlocale. (Compensated compactness and 2-microlocal regularity). Zbl 0707.35032
Gérard, P.
1
1989
Regularization by averaging for solutions of partial differential equations. Zbl 0724.35115
Gérard, P.
1
1988
An example of singular dynamics for the nonlinear Schrödinger equation on bounded domains. Zbl 1210.35225
Burg, N.; Gérard, P.; Tzvetkov, N.
1
2003
Generalized geometric optics for critical nonlinear waves. (Optique géométrique généralisée pour les ondes non linéaires critiques.) Zbl 1068.35522
Bahouri, Hajer; Gerard, Patrick
1
1997
Régularité de moyennes de solutions d’équations aux dérivées partielles. (Regularity of means of solutions of partial differential equations). Zbl 0639.35010
Gerard, Patrick
1
1987
Solutions globales du problème de Cauchy pour l’équation de Boltzmann [d’après R. J. Di Perna et P. L. Lions]. Zbl 0704.76041
Gérard, Patrick
1
1988
Wave turbulence and complete integrability. Zbl 1442.35419
Gérard, Patrick
1
2019
A Landau-Zener formula for two-scaled Wigner measures. Zbl 1145.81368
Fermanian Kammerer, Clotilde; Gerard, Patrick
1
2004
Generic colourful tori and inverse spectral transform for Hankel operators. Zbl 1409.35045
Gérard, Patrick; Grellier, Sandrine
1
2019
Inverse spectral theory for a class of non-compact Hankel operators. Zbl 07036937
Gérard, Patrick; Pushnitski, Alexander
1
2019
A survey of the Szegő equation. Zbl 1428.35067
Gérard, Patrick; Grellier, Sandrine
1
2019
On a damped Szegö equation (with an appendix in collaboration with Christian Klein). Zbl 1448.35022
Gérard, Patrick; Grellier, Sandrine
1
2020
On the analytic Birkhoff normal form of the Benjamin-Ono equation and applications. Zbl 07461241
Gérard, Patrick; Kappeler, Thomas; Topalov, Petar
2
2022
On the integrability of the Benjamin-Ono equation on the torus. Zbl 1471.35354
Gérard, Patrick; Kappeler, Thomas
6
2021
On the spectrum of the Lax operator of the Benjamin-Ono equation on the torus. Zbl 1452.37070
Gérard, Patrick; Kappeler, Thomas; Topalov, Petar
9
2020
Stabilization of wave equations on the torus with rough dampings. Zbl 1462.35070
Burq, Nicolas; Gérard, Patrick
3
2020
Weighted model spaces and Schmidt subspaces of Hankel operators. Zbl 1448.47040
Gérard, Patrick; Pushnitski, Alexander
2
2020
On a damped Szegö equation (with an appendix in collaboration with Christian Klein). Zbl 1448.35022
Gérard, Patrick; Grellier, Sandrine
1
2020
On the cubic lowest Landau level equation. Zbl 1412.82034
Gérard, Patrick; Germain, Pierre; Thomann, Laurent
9
2019
Wave turbulence and complete integrability. Zbl 1442.35419
Gérard, Patrick
1
2019
Generic colourful tori and inverse spectral transform for Hankel operators. Zbl 1409.35045
Gérard, Patrick; Grellier, Sandrine
1
2019
Inverse spectral theory for a class of non-compact Hankel operators. Zbl 07036937
Gérard, Patrick; Pushnitski, Alexander
1
2019
A survey of the Szegő equation. Zbl 1428.35067
Gérard, Patrick; Grellier, Sandrine
1
2019
A two-soliton with transient turbulent regime for the cubic half-wave equation on the real line. Zbl 1397.35062
Gérard, Patrick; Lenzmann, Enno; Pocovnicu, Oana; Raphaël, Pierre
12
2018
A Lax pair structure for the half-wave maps equation. Zbl 1393.37074
Gérard, Patrick; Lenzmann, Enno
5
2018
The cubic Szegő equation and Hankel operators. Zbl 1410.37001
Gérard, Patrick; Grellier, Sandrine
17
2017
On the growth of Sobolev norms for the cubic Szegő equation. Zbl 1355.35022
Gérard, Patrick; Grellier, Sandrine
2
2016
An explicit formula for the cubic Szegő equation. Zbl 1318.37024
Gérard, Patrick; Grellier, Sandrine
16
2015
On the radius of analyticity of solutions to the cubic Szegő equation. Zbl 1332.35058
Gérard, Patrick; Guo, Yanqiu; Titi, Edriss S.
12
2015
An inverse problem for self-adjoint positive Hankel operators. Zbl 1338.47024
Gérard, Patrick; Pushnitski, Alexander
6
2015
Inverse spectral problems for compact Hankel operators. Zbl 1304.47038
Gérard, Patrick; Grellier, Sandrine
3
2014
Wigner measure propagation and conical singularity for general initial data. Zbl 1288.35408
Fermanian-Kammerer, Clotilde; Gérard, Patrick; Lasser, Caroline
6
2013
An introduction to the cubic Szegö equation. Zbl 1348.35232
Gérard, Patrick
1
2013
Effective integrable dynamics for a certain nonlinear wave equation. Zbl 1268.35013
Gérard, Patrick; Grellier, Sandrine
39
2012
Invariant tori for the cubic Szegö equation. Zbl 1252.35026
Gérard, Patrick; Grellier, Sandrine
22
2012
A drift homogenization problem revisited. Zbl 1270.35058
Briane, Marc; Gérard, Patrick
3
2012
The Schrödinger-Poisson system on the sphere. Zbl 1231.35229
Gérard, Patrick; Méhats, Florian
3
2011
The cubic Szegő equation. (L’équation de Szegő cubique.) Zbl 1228.35225
Gérard, Patrick; Grellier, Sandrine
44
2010
Nonlinear Schrödinger equation on four-dimensional compact manifolds. Zbl 1183.35251
Gérard, Patrick; Pierfelice, Vittoria
6
2010
The cubic Szegö equation. (L’equation de Szegö cubique.) Zbl 1213.35397
Gérard, Patrick; Grellier, Sandrine
2
2010
A mean-field toy model for resonant transport. Zbl 1194.35462
Gerard, Patrick; Pallard, Christophe
1
2010
Orbital stability of traveling waves for the one-dimensional Gross-Pitaevskii equation. Zbl 1232.35152
Gérard, Patrick; Zhang, Zhifei
16
2009
The Gross-Pitaevskii equation in the energy space. Zbl 1166.35373
Gérard, Patrick
13
2008
Restrictions of the Laplace-Beltrami eigenfunctions to submanifolds. Zbl 1131.35053
Burq, N.; Gérard, P.; Tzvetkov, N.
64
2007
Pseudo-differential operators and the Nash–Moser theorem. Transl. from the French by Stephen S. Wilson. Zbl 1121.47033
Alinhac, Serge; Gérard, Patrick
56
2007
Global solutions for the nonlinear Schrödinger equation on three-dimensional compact manifolds. Zbl 1180.35475
Burq, N.; Gérard, P.; Tzvetkov, N.
13
2007
Stabilization and control for the nonlinear Schrödinger equation on a compact surface. Zbl 1127.93015
Dehman, B.; Gérard, P.; Lebeau, G.
49
2006
The Cauchy problem for the Gross–Pitaevskii equation. Zbl 1122.35133
Gérard, P.
38
2006
Nonlinear Schrödinger equations in inhomogeneous media: wellposedness and illposedness of the Cauchy problem. Zbl 1106.35096
Gérard, Patrick
6
2006
Bilinear eigenfunction estimates and the nonlinear Schrödinger equation on surfaces. Zbl 1092.35099
Burq, N.; Gérard, P.; Tzvetkov, N.
62
2005
Multilinear eigenfunction estimates and global existence for the three dimensional nonlinear Schrödinger equations. Zbl 1116.35109
Burq, Nicolas; Gérard, Patrick; Tzvetkov, Nikolay
44
2005
Nonlinear Schrödinger equations on compact manifolds. Zbl 1076.35115
Gérard, P.
3
2005
Strichartz inequalities and the nonlinear Schrödinger equation on compact manifolds. Zbl 1067.58027
Burq, N.; Gérard, P.; Tzvetkov, N.
164
2004
On nonlinear Schrödinger equations in exterior domains. Zbl 1061.35126
Burq, N.; Gérard, P.; Tzvetkov, N.
36
2004
Multilinear estimates for the Laplace spectral projectors on compact manifolds. Zbl 1040.58011
Burq, Nicolas; Gérard, Patrick; Tzvetkov, Nikolay
7
2004
The Cauchy problem for the nonlinear Schrödinger equation on compact manifolds. Zbl 1084.35086
Burq, N.; Gérard, P.; Tzvetkov, N.
4
2004
Two-scale Wigner measures and the Landau-Zener formulas. Zbl 1322.81059
Kammerer, C. Fermanian; Gérard, P.
1
2004
A Landau-Zener formula for two-scaled Wigner measures. Zbl 1145.81368
Fermanian Kammerer, Clotilde; Gerard, Patrick
1
2004
A Landau-Zener formula for non-degenerated involutive codimension 3 crossings. Zbl 1049.81029
Fermanian Kammerer, Clotilde; Gérard, Patrick
23
2003
Two singular dynamics of the nonlinear Schrödinger equation on a plane domain. Zbl 1044.35084
Burq, N.; Gérard, P.; Tzvetkov, N.
22
2003
The Cauchy problem for the nonlinear Schrödinger equation on a compact manifold. Zbl 1362.35282
Burq, Nicolas; Gérard, Patrick; Tzvetkov, Nikolay
10
2003
An example of singular dynamics for the nonlinear Schrödinger equation on bounded domains. Zbl 1210.35225
Burg, N.; Gérard, P.; Tzvetkov, N.
1
2003
An instability property of the nonlinear Schrödinger equation on \(S^d\). Zbl 1003.35113
Burq, N.; Gérard, P.; Tzvetkov, N.
52
2002
Semi-classical measures and eigenvalue crossings. (Mesures semi-classiques et croisement de modes.) Zbl 0996.35004
Fermanian-Kammerer, Clotilde; Gérard, Patrick
32
2002
A Landau-Zener formula for a generic crossing in codimension 2. (Une formule de Landau-Zener pour un croisement générique de codimension 2.) Zbl 1292.35252
Fermanian Kammerer, Clotilde; Gérard, Patrick
1
2002
Profile decomposition for the wave equation outside a convex obstacle. Zbl 0980.35088
Gallagher, Isabelle; Gérard, Patrick
12
2001
The Schrödinger equation on a compact manifold: Strichartz estimates and applications. Zbl 1043.58019
Burq, Nicolas; Gérard, Patrick; Tzvetkov, Nikolay
4
2001
Besov spaces and Strichartz estimates on the Heisenberg group. (Espaces de Besov et estimations de Strichartz généralisées sur le groupe de Heisenberg.) Zbl 0965.22010
Bahouri, Hajer; Gérard, Patrick; Xu, Chao-Jiang
38
2000
Sensitivity phenomena for certain thin elastic shells with edges. Zbl 0989.74047
Gerard, Patrick; Sanchez-Palencia, Evariste
5
2000
Semiclassical measures and crossing of modes. (Mesures semi-classiques et croisement de modes.) Zbl 1055.81534
Fermanian Kammerer, Clotilde; Gerard, Patrick
3
2000
High frequency approximation of solutions to critical nonlinear wave equations. Zbl 0919.35089
Bahouri, Hajer; Gérard, Patrick
186
1999
Description of the lack of compactness for the Sobolev imbedding. Zbl 0907.46027
Gérard, P.
52
1998
Homogenization limits and Wigner transforms. Zbl 0881.35099
Gérard, Patrick; Markowich, Peter A.; Mauser, Norbert J.; Poupaud, Frédéric
196
1997
A necessary and sufficient condition for the exact controllability of the wave equation. (Condition nécessaire et suffisante pour la contrôlabilité exacte des ondes.) Zbl 0906.93008
Burq, Nicolas; Gérard, Patrick
81
1997
Sharp Sobolev inequalities. (Inégalités de Sobolev précisées.) Zbl 1066.46501
Gerard, Patrick; Meyer, Yves; Oru, Frédérique
32
1997
Concentration effects in critical nonlinear wave equation and scattering theory. Zbl 0926.35090
Bahouri, Hajer; Gérard, Patrick
3
1997
Generalized geometric optics for critical nonlinear waves. (Optique géométrique généralisée pour les ondes non linéaires critiques.) Zbl 1068.35522
Bahouri, Hajer; Gerard, Patrick
1
1997
Oscillations of concentration effects in semilinear dispersive wave equations. Zbl 0868.35075
Gérard, Patrick
37
1996
A compactness result for generalized Radon transforms. Zbl 0864.44001
Gérard, Patrick; Golse, François; Wennberg, Bernt
2
1996
A microlocal version of concentration-compactness. Zbl 0868.35005
Gérard, Patrick
1
1996
Ergodic properties of eigenfunctions for the Dirichlet problem. Zbl 0788.35103
Gérard, Patrick; Leichtnam, Eric
90
1993
Diffraction of a wave at a corner. (Diffusion d’une onde par un coin.) Zbl 0779.35063
Gérard, Patrick; Lebeau, Gilles
12
1993
Remarks on the semiclassical analysis of the nonlinear Schrödinger equation. (Remarques sur l’analyse semi-classique de l’équation de Schrödinger non linéaire.) Zbl 0874.35111
Gérard, Patrick
6
1993
Averaging regularity results for PDEs under transversality assumptions. Zbl 0832.35020
Gérard, Patrick; Golse, François
14
1992
Recent results concerning two-dimensional incompressible perfect fluids (after J.-Y. Chemin and J.-M. Delort). (Résultats récents sur les fluides parfaits incompressibles bidimensionnels (d’après J.-Y. Chemin et J.-M. Delort).) Zbl 1154.76321
Gérard, Patrick
9
1992
Microlocal defect measures. Zbl 0770.35001
Gérard, Patrick
185
1991
Pseudo-differential operators and the Nash-Moser theorem. (Opérateurs pseudo-différentiels et théorème de Nash-Moser.) Zbl 0791.47044
Alinhac, Serge; Gérard, Patrick
63
1991
Mesures semi-classiques et ondes de Bloch. (Semiclassical measures and Bloch waves). Zbl 0739.35096
Gérard, P.
25
1991
Moyennisation et régularité deux-microlocale. (Second microlocal averaging and regularity). Zbl 0725.35003
Gérard, Patrick
13
1990
Compacité par compensation et régularité 2-microlocale. (Compensated compactness and 2-microlocal regularity). Zbl 0707.35032
Gérard, P.
1
1989
Solutions conormales analytiques d’équations hyperboliques non linéaires. (Conormal analytic solutions of nonlinear hyperbolic equations). Zbl 0639.35054
Gerard, Patrick
3
1988
Regularization by averaging for solutions of partial differential equations. Zbl 0724.35115
Gérard, P.
1
1988
Solutions globales du problème de Cauchy pour l’équation de Boltzmann [d’après R. J. Di Perna et P. L. Lions]. Zbl 0704.76041
Gérard, Patrick
1
1988
Propagation de la régularité locale de solutions d’équations hyperboliques non linéaires. (Propagation of local smoothness for solutions of nonlinear hyperbolic equations). Zbl 0617.35079
Gerard, P.; Rauch, J.
7
1987
Moyennes de solutions d’équations aux dérivées partielles. (Means of solutions of partial differential equations). Zbl 0657.35020
Gerard, P.
3
1987
Régularité de moyennes de solutions d’équations aux dérivées partielles. (Regularity of means of solutions of partial differential equations). Zbl 0639.35010
Gerard, Patrick
1
1987
all top 5

Cited by 1,246 Authors

33 Tzvetkov, Nikolay
29 Burq, Nicolas
28 Gerard, Patrick
24 Fermanian-Kammerer, Clotilde
23 Carles, Rémi
21 Cavalcanti, Marcelo Moreira
21 Kenig, Carlos Eduardo
20 Duyckaerts, Thomas
17 Bal, Guillaume
16 Bahouri, Hajer
16 Domingos Cavalcanti, Valéria Neves
16 Jin, Shi
15 Markowich, Peter Alexander
15 Merle, Frank
15 Paul, Thierry
15 Ryzhik, Lenya
14 Gallagher, Isabelle
13 Nakanishi, Kenji
13 Oh, Tadahiro
13 Panov, Evgeniy Yu.
12 Antonić, Nenad
12 Visciglia, Nicola
11 Mauser, Norbert Julius
11 Zuazua, Enrique
10 Galkowski, Jeffrey
10 Lebeau, Gilles
10 Masmoudi, Nader
10 Perthame, Benoît
10 Thomann, Laurent
9 Ibrahim, Slim
9 Laurent, Camille
9 Lazar, Martin
9 Léautaud, Matthieu
9 Macià, Fabricio
9 Miao, Changxing
9 Mitrovic, Darko
9 Saut, Jean-Claude
9 Schlag, Wilhelm
9 Sogge, Christopher D.
9 Sparber, Christof
9 Tacy, Melissa
9 Tataru, Daniel
9 Toth, John Andrew
9 Trélat, Emmanuel
8 Allaire, Grégoire
8 Aloui, Lassaad
8 Gala, Sadek
8 Grellier, Sandrine
8 Guo, Zihua
8 Hani, Zaher
8 Hassell, Andrew
8 Krieger, Joachim
8 Lawrie, Andrew G. W.
8 Majdoub, Mohamed
8 Pausader, Benoît
8 Pinaud, Olivier
8 Planchon, Fabrice
8 Raphael, Pierre
8 Xu, Guixiang
7 Alabau-Boussouira, Fatiha
7 Banica, Valeria
7 Blair, Matthew D.
7 Christianson, Hans
7 Ervedoza, Sylvain
7 Evnin, Oleg
7 Germain, Pierre
7 Gravejat, Philippe
7 Guardia, Marcel
7 Israwi, Samer
7 Kwon, Soonsik
7 Lasser, Caroline
7 Rosier, Lionel
7 Visan, Monica
6 Alazard, Thomas
6 Athanassoulis, Agisillaos
6 Bao, Weizhu
6 Bardos, Claude Williams
6 Chemin, Jean-Yves
6 Corrêa, Wellington José
6 de Laire, André
6 Golse, François
6 Herr, Sebastian
6 Keraani, Sahbi
6 Killip, Rowan
6 Lenzmann, Enno
6 Marzuola, Jeremy L.
6 Méhats, Florian
6 Pilipović, Stevan
6 Pocovnicu, Oana
6 Privat, Yannick
6 Soler, Juan S.
6 Sun, Chenmin
6 Yang, Xu
6 Zelditch, Steve
5 Aleksic, Jelena
5 Brzeźniak, Zdzisław
5 Côte, Raphaël
5 Dehman, Belhassen
5 Erceg, Marko
5 Fischer, Véronique
...and 1,146 more Authors
all top 5

Cited in 242 Serials

70 Journal of Differential Equations
67 Communications in Partial Differential Equations
64 Communications in Mathematical Physics
55 Journal of Functional Analysis
43 Archive for Rational Mechanics and Analysis
41 Journal de Mathématiques Pures et Appliquées. Neuvième Série
39 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
30 Journal of Mathematical Physics
30 Transactions of the American Mathematical Society
27 Comptes Rendus. Mathématique. Académie des Sciences, Paris
26 Journal of Mathematical Analysis and Applications
20 Duke Mathematical Journal
20 Discrete and Continuous Dynamical Systems
18 Mathematische Annalen
18 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
18 Journal of the European Mathematical Society (JEMS)
17 Journal of Computational Physics
17 Communications on Pure and Applied Analysis
16 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
16 Journal of Hyperbolic Differential Equations
15 Proceedings of the American Mathematical Society
15 SIAM Journal on Mathematical Analysis
14 Séminaire Laurent Schwartz. EDP et Applications
13 Nonlinearity
13 Annales de l’Institut Fourier
13 Inventiones Mathematicae
13 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
12 Communications on Pure and Applied Mathematics
12 Advances in Mathematics
12 Communications in Contemporary Mathematics
11 Revista Matemática Iberoamericana
11 Analysis & PDE
10 ZAMP. Zeitschrift für angewandte Mathematik und Physik
10 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
10 Physica D
10 Journal of the American Mathematical Society
10 The Journal of Geometric Analysis
9 Annales Henri Poincaré
9 Science China. Mathematics
8 Wave Motion
8 Geometric and Functional Analysis. GAFA
8 NoDEA. Nonlinear Differential Equations and Applications
8 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
8 Journal of Pseudo-Differential Operators and Applications
7 Annali di Matematica Pura ed Applicata. Serie Quarta
7 Bulletin de la Société Mathématique de France
7 Mathematische Zeitschrift
7 SIAM Journal on Control and Optimization
7 Journal of Mathematical Sciences (New York)
7 The Journal of Fourier Analysis and Applications
7 Journal of Spectral Theory
7 Annals of PDE
7 Journal de l’École Polytechnique – Mathématiques
6 Applicable Analysis
6 Journal d’Analyse Mathématique
6 Journal of Statistical Physics
6 Transport Theory and Statistical Physics
6 Forum Mathematicum
6 Journal of Dynamics and Differential Equations
6 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
5 Numerische Mathematik
5 Quarterly of Applied Mathematics
5 Asymptotic Analysis
5 Journal of Scientific Computing
5 Bulletin of the American Mathematical Society. New Series
5 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
5 Calculus of Variations and Partial Differential Equations
5 Acta Mathematica Sinica. English Series
5 Journal of Evolution Equations
5 Discrete and Continuous Dynamical Systems. Series S
5 Evolution Equations and Control Theory
5 Annales Henri Lebesgue
4 Mathematical Methods in the Applied Sciences
4 Chinese Annals of Mathematics. Series B
4 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
4 SIAM Journal on Applied Mathematics
4 Nonlinear Analysis. Real World Applications
4 Foundations of Computational Mathematics
4 Multiscale Modeling & Simulation
4 Journal of the Institute of Mathematics of Jussieu
4 Mathematical Control and Related Fields
3 Israel Journal of Mathematics
3 American Journal of Mathematics
3 Applied Mathematics and Optimization
3 Journal of Computational and Applied Mathematics
3 Journal of the Mathematical Society of Japan
3 Journal of Optimization Theory and Applications
3 Journal für die Reine und Angewandte Mathematik
3 Memoirs of the American Mathematical Society
3 Proceedings of the London Mathematical Society. Third Series
3 MCSS. Mathematics of Control, Signals, and Systems
3 International Journal of Mathematics
3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
3 Potential Analysis
3 Applied and Computational Harmonic Analysis
3 St. Petersburg Mathematical Journal
3 Annales Mathématiques Blaise Pascal
3 Revista Matemática Complutense
3 Discrete Dynamics in Nature and Society
3 Annals of Mathematics. Second Series
...and 142 more Serials
all top 5

Cited in 50 Fields

1,139 Partial differential equations (35-XX)
198 Quantum theory (81-XX)
170 Global analysis, analysis on manifolds (58-XX)
127 Dynamical systems and ergodic theory (37-XX)
126 Fluid mechanics (76-XX)
104 Systems theory; control (93-XX)
100 Statistical mechanics, structure of matter (82-XX)
85 Operator theory (47-XX)
74 Functional analysis (46-XX)
72 Harmonic analysis on Euclidean spaces (42-XX)
70 Numerical analysis (65-XX)
62 Mechanics of deformable solids (74-XX)
41 Calculus of variations and optimal control; optimization (49-XX)
39 Probability theory and stochastic processes (60-XX)
39 Optics, electromagnetic theory (78-XX)
35 Differential geometry (53-XX)
26 Ordinary differential equations (34-XX)
22 Topological groups, Lie groups (22-XX)
18 Abstract harmonic analysis (43-XX)
14 Number theory (11-XX)
10 Real functions (26-XX)
9 Functions of a complex variable (30-XX)
8 Special functions (33-XX)
8 Integral equations (45-XX)
8 Mechanics of particles and systems (70-XX)
8 Relativity and gravitational theory (83-XX)
7 Measure and integration (28-XX)
6 Approximations and expansions (41-XX)
6 Integral transforms, operational calculus (44-XX)
6 Geophysics (86-XX)
6 Biology and other natural sciences (92-XX)
5 Potential theory (31-XX)
4 General and overarching topics; collections (00-XX)
4 Linear and multilinear algebra; matrix theory (15-XX)
4 Information and communication theory, circuits (94-XX)
3 Group theory and generalizations (20-XX)
3 Classical thermodynamics, heat transfer (80-XX)
3 Astronomy and astrophysics (85-XX)
3 Operations research, mathematical programming (90-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Sequences, series, summability (40-XX)
2 General topology (54-XX)
2 Statistics (62-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 History and biography (01-XX)
1 Combinatorics (05-XX)
1 Algebraic geometry (14-XX)
1 Associative rings and algebras (16-XX)
1 Nonassociative rings and algebras (17-XX)
1 Difference and functional equations (39-XX)

Citations by Year

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