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Gerard, Patrick

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Author ID: gerard.patrick Recent zbMATH articles by "Gerard, Patrick"
Published as: Gerard, P.; Gerard, Patrick; Gérard, P.; Gérard, Patrick
Homepage: http://www.math.u-psud.fr/~pgerard/
External Links: MGP · Wikidata · dblp · GND
Member of Collective: Bourbaki, Nicolas
Documents Indexed: 104 Publications since 1986, including 3 Books
all top 5

Serials

12 Séminaire Équations aux Dérivées Partielles
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 Communications on Pure and Applied Mathematics
2 American Journal of Mathematics
2 Bulletin de la Société Mathématique de France
2 Duke Mathematical Journal
2 Inventiones Mathematicae
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
2 Séminaire Laurent Schwartz. EDP et Applications
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 Functional Analysis
1 Journal of the London Mathematical Society. Second Series
1 Mathematische Zeitschrift
1 Mathematika
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 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 Annals of PDE
1 Tunisian Journal of Mathematics
1 Savoirs Actuels

Publications by Year

Citations contained in zbMATH

80 Publications have been cited 1,809 times in 1,239 Documents Cited by Year
Homogenization limits and Wigner transforms. Zbl 0881.35099
Gérard, Patrick; Markowich, Peter A.; Mauser, Norbert J.; Poupaud, Frédéric
178
1997
High frequency approximation of solutions to critical nonlinear wave equations. Zbl 0919.35089
Bahouri, Hajer; Gérard, Patrick
174
1999
Microlocal defect measures. Zbl 0770.35001
Gérard, Patrick
169
1991
Strichartz inequalities and the nonlinear Schrödinger equation on compact manifolds. Zbl 1067.58027
Burq, N.; Gérard, P.; Tzvetkov, N.
146
2004
Ergodic properties of eigenfunctions for the Dirichlet problem. Zbl 0788.35103
Gérard, Patrick; Leichtnam, Eric
78
1993
A necessary and sufficient condition for the exact controllability of the wave equation. Zbl 0906.93008
Burq, Nicolas; Gérard, Patrick
69
1997
Restrictions of the Laplace-Beltrami eigenfunctions to submanifolds. Zbl 1131.35053
Burq, N.; Gérard, P.; Tzvetkov, N.
58
2007
Bilinear eigenfunction estimates and the nonlinear Schrödinger equation on surfaces. Zbl 1092.35099
Burq, N.; Gérard, P.; Tzvetkov, N.
57
2005
Pseudo-differential operators and the Nash-Moser theorem. Zbl 0791.47044
Alinhac, Serge; Gérard, Patrick
53
1991
Description of the lack of compactness for the Sobolev imbedding. Zbl 0907.46027
Gérard, P.
49
1998
An instability property of the nonlinear Schrödinger equation on \(S^d\). Zbl 1003.35113
Burq, N.; Gérard, P.; Tzvetkov, N.
45
2002
Pseudo-differential operators and the Nash–Moser theorem. Transl. from the French by Stephen S. Wilson. Zbl 1121.47033
Alinhac, Serge; Gérard, Patrick
43
2007
Stabilization and control for the nonlinear Schrödinger equation on a compact surface. Zbl 1127.93015
Dehman, B.; Gérard, P.; Lebeau, G.
40
2006
Multilinear eigenfunction estimates and global existence for the three dimensional nonlinear Schrödinger equations. Zbl 1116.35109
Burq, Nicolas; Gérard, Patrick; Tzvetkov, Nikolay
39
2005
The cubic Szegő equation. Zbl 1228.35225
Gérard, Patrick; Grellier, Sandrine
36
2010
The Cauchy problem for the Gross–Pitaevskii equation. Zbl 1122.35133
Gérard, P.
35
2006
Oscillations of concentration effects in semilinear dispersive wave equations. Zbl 0868.35075
Gérard, Patrick
35
1996
Besov spaces and Strichartz estimates on the Heisenberg group. Zbl 0965.22010
Bahouri, Hajer; Gérard, Patrick; Xu, Chao-Jiang
32
2000
On nonlinear Schrödinger equations in exterior domains. Zbl 1061.35126
Burq, N.; Gérard, P.; Tzvetkov, N.
30
2004
Effective integrable dynamics for a certain nonlinear wave equation. Zbl 1268.35013
Gérard, Patrick; Grellier, Sandrine
29
2012
Semi-classical measures and eigenvalue crossings. Zbl 0996.35004
Fermanian-Kammerer, Clotilde; Gérard, Patrick
29
2002
Sharp Sobolev inequalities. Zbl 1066.46501
Gerard, Patrick; Meyer, Yves; Oru, Frédérique
29
1997
Mesures semi-classiques et ondes de Bloch. (Semiclassical measures and Bloch waves). Zbl 0739.35096
Gérard, P.
26
1991
A Landau-Zener formula for non-degenerated involutive codimension 3 crossings. Zbl 1049.81029
Fermanian Kammerer, Clotilde; Gérard, Patrick
22
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
21
2012
An explicit formula for the cubic Szegő equation. Zbl 1318.37024
Gérard, Patrick; Grellier, Sandrine
15
2015
Orbital stability of traveling waves for the one-dimensional Gross-Pitaevskii equation. Zbl 1232.35152
Gérard, Patrick; Zhang, Zhifei
15
2009
Averaging regularity results for PDEs under transversality assumptions. Zbl 0832.35020
Gérard, Patrick; Golse, François
13
1992
The cubic Szegő equation and Hankel operators. Zbl 1410.37001
Gérard, Patrick; Grellier, Sandrine
12
2017
The Gross-Pitaevskii equation in the energy space. Zbl 1166.35373
Gérard, Patrick
12
2008
Global solutions for the nonlinear Schrödinger equation on three-dimensional compact manifolds. Zbl 1180.35475
Burq, N.; Gérard, P.; Tzvetkov, N.
12
2007
Diffraction of a wave at a corner. 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
11
2001
Moyennisation et régularité deux-microlocale. (Second microlocal averaging and regularity). Zbl 0725.35003
Gérard, Patrick
11
1990
The Cauchy problem for the nonlinear Schrödinger equation on a compact manifold. Zbl 1362.35282
Burq, Nicolas; Gérard, Patrick; Tzvetkov, Nikolay
10
2003
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
8
2018
On the radius of analyticity of solutions to the cubic Szegő equation. Zbl 1332.35058
Gérard, Patrick; Guo, Yanqiu; Titi, Edriss S.
8
2015
Remarks on the semiclassical analysis of the nonlinear Schrödinger equation. Zbl 0874.35111
Gérard, Patrick
8
1993
Recent results concerning two-dimensional incompressible perfect fluids (after J.-Y. Chemin and J.-M. Delort). Zbl 1154.76321
Gérard, Patrick
8
1992
Nonlinear Schrödinger equation on four-dimensional compact manifolds. Zbl 1183.35251
Gérard, Patrick; Pierfelice, Vittoria
7
2010
On the cubic lowest Landau level equation. Zbl 1412.82034
Gérard, Patrick; Germain, Pierre; Thomann, Laurent
6
2019
Wigner measure propagation and conical singularity for general initial data. Zbl 1288.35408
Fermanian-Kammerer, Clotilde; Gérard, Patrick; Lasser, Caroline
6
2013
Nonlinear Schrödinger equations in inhomogeneous media: wellposedness and illposedness of the Cauchy problem. Zbl 1106.35096
Gérard, Patrick
6
2006
Multilinear estimates for the Laplace spectral projectors on compact manifolds. Zbl 1040.58011
Burq, Nicolas; Gérard, Patrick; Tzvetkov, Nikolay
6
2004
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.
6
1987
An inverse problem for self-adjoint positive Hankel operators. Zbl 1338.47024
Gérard, Patrick; Pushnitski, Alexander
5
2015
Sensitivity phenomena for certain thin elastic shells with edges. Zbl 0989.74047
Gerard, Patrick; Sanchez-Palencia, Evariste
5
2000
The cubic Szegö equation. Zbl 1213.35397
Gérard, Patrick; Grellier, Sandrine
4
2010
The Cauchy problem for the nonlinear Schrödinger equation on compact manifolds. Zbl 1084.35086
Burq, N.; Gérard, P.; Tzvetkov, N.
4
2004
The Schrödinger equation on a compact manifold: Strichartz estimates and applications. Zbl 1043.58019
Burq, Nicolas; Gérard, Patrick; Tzvetkov, Nikolay
4
2001
Moyennes de solutions d’équations aux dérivées partielles. (Means of solutions of partial differential equations). Zbl 0657.35020
Gerard, P.
4
1987
A Lax pair structure for the half-wave maps equation. Zbl 1393.37074
Gérard, Patrick; Lenzmann, Enno
3
2018
Inverse spectral problems for compact Hankel operators. Zbl 1304.47038
Gérard, Patrick; Grellier, Sandrine
3
2014
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
Semiclassical measures and crossing of modes. Zbl 1055.81534
Fermanian Kammerer, Clotilde; Gerard, Patrick
3
2000
Concentration effects in critical nonlinear wave equation and scattering theory. Zbl 0926.35090
Bahouri, Hajer; Gérard, Patrick
3
1997
Solutions conormales analytiques d’équations hyperboliques non linéaires. (Conormal analytic solutions of nonlinear hyperbolic equations). Zbl 0639.35054
Gerard, Patrick
3
1988
Weighted model spaces and Schmidt subspaces of Hankel operators. Zbl 1448.47040
Gérard, Patrick; Pushnitski, Alexander
2
2020
On the growth of Sobolev norms for the cubic Szegő equation. Zbl 1355.35022
Gérard, Patrick; Grellier, Sandrine
2
2016
A drift homogenization problem revisited. Zbl 1270.35058
Briane, Marc; Gérard, Patrick
2
2012
A compactness result for generalized Radon transforms. Zbl 0864.44001
Gérard, Patrick; Golse, François; Wennberg, Bernt
2
1996
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
2
1988
On the spectrum of the Lax operator of the Benjamin-Ono equation on the torus. Zbl 1452.37070
Gérard, Patrick; Kappeler, Thomas; Topalov, Petar
1
2020
Wave turbulence and complete integrability. Zbl 1442.35419
Gérard, Patrick
1
2019
A survey of the Szegő equation. Zbl 1428.35067
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
Generic colourful tori and inverse spectral transform for Hankel operators. Zbl 1409.35045
Gérard, Patrick; Grellier, Sandrine
1
2019
An introduction to the cubic Szegö equation. Zbl 1348.35232
Gérard, Patrick
1
2013
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 two-scaled Wigner measures. Zbl 1145.81368
Fermanian Kammerer, Clotilde; Gerard, Patrick
1
2004
An example of singular dynamics for the nonlinear Schrödinger equation on bounded domains. Zbl 1210.35225
Burg, N.; Gérard, P.; Tzvetkov, N.
1
2003
A Landau-Zener formula for a generic crossing in codimension 2. Zbl 1292.35252
Fermanian Kammerer, Clotilde; Gérard, Patrick
1
2002
Generalized geometric optics for critical nonlinear waves. Zbl 1068.35522
Bahouri, Hajer; Gerard, Patrick
1
1997
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
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
Weighted model spaces and Schmidt subspaces of Hankel operators. Zbl 1448.47040
Gérard, Patrick; Pushnitski, Alexander
2
2020
On the spectrum of the Lax operator of the Benjamin-Ono equation on the torus. Zbl 1452.37070
Gérard, Patrick; Kappeler, Thomas; Topalov, Petar
1
2020
On the cubic lowest Landau level equation. Zbl 1412.82034
Gérard, Patrick; Germain, Pierre; Thomann, Laurent
6
2019
Wave turbulence and complete integrability. Zbl 1442.35419
Gérard, Patrick
1
2019
A survey of the Szegő equation. Zbl 1428.35067
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
Generic colourful tori and inverse spectral transform for Hankel operators. Zbl 1409.35045
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
8
2018
A Lax pair structure for the half-wave maps equation. Zbl 1393.37074
Gérard, Patrick; Lenzmann, Enno
3
2018
The cubic Szegő equation and Hankel operators. Zbl 1410.37001
Gérard, Patrick; Grellier, Sandrine
12
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
15
2015
On the radius of analyticity of solutions to the cubic Szegő equation. Zbl 1332.35058
Gérard, Patrick; Guo, Yanqiu; Titi, Edriss S.
8
2015
An inverse problem for self-adjoint positive Hankel operators. Zbl 1338.47024
Gérard, Patrick; Pushnitski, Alexander
5
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
29
2012
Invariant tori for the cubic Szegö equation. Zbl 1252.35026
Gérard, Patrick; Grellier, Sandrine
21
2012
A drift homogenization problem revisited. Zbl 1270.35058
Briane, Marc; Gérard, Patrick
2
2012
The Schrödinger-Poisson system on the sphere. Zbl 1231.35229
Gérard, Patrick; Méhats, Florian
3
2011
The cubic Szegő equation. Zbl 1228.35225
Gérard, Patrick; Grellier, Sandrine
36
2010
Nonlinear Schrödinger equation on four-dimensional compact manifolds. Zbl 1183.35251
Gérard, Patrick; Pierfelice, Vittoria
7
2010
The cubic Szegö equation. Zbl 1213.35397
Gérard, Patrick; Grellier, Sandrine
4
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
15
2009
The Gross-Pitaevskii equation in the energy space. Zbl 1166.35373
Gérard, Patrick
12
2008
Restrictions of the Laplace-Beltrami eigenfunctions to submanifolds. Zbl 1131.35053
Burq, N.; Gérard, P.; Tzvetkov, N.
58
2007
Pseudo-differential operators and the Nash–Moser theorem. Transl. from the French by Stephen S. Wilson. Zbl 1121.47033
Alinhac, Serge; Gérard, Patrick
43
2007
Global solutions for the nonlinear Schrödinger equation on three-dimensional compact manifolds. Zbl 1180.35475
Burq, N.; Gérard, P.; Tzvetkov, N.
12
2007
Stabilization and control for the nonlinear Schrödinger equation on a compact surface. Zbl 1127.93015
Dehman, B.; Gérard, P.; Lebeau, G.
40
2006
The Cauchy problem for the Gross–Pitaevskii equation. Zbl 1122.35133
Gérard, P.
35
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.
57
2005
Multilinear eigenfunction estimates and global existence for the three dimensional nonlinear Schrödinger equations. Zbl 1116.35109
Burq, Nicolas; Gérard, Patrick; Tzvetkov, Nikolay
39
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.
146
2004
On nonlinear Schrödinger equations in exterior domains. Zbl 1061.35126
Burq, N.; Gérard, P.; Tzvetkov, N.
30
2004
Multilinear estimates for the Laplace spectral projectors on compact manifolds. Zbl 1040.58011
Burq, Nicolas; Gérard, Patrick; Tzvetkov, Nikolay
6
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
22
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.
45
2002
Semi-classical measures and eigenvalue crossings. Zbl 0996.35004
Fermanian-Kammerer, Clotilde; Gérard, Patrick
29
2002
A Landau-Zener formula for a generic crossing in 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
11
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. Zbl 0965.22010
Bahouri, Hajer; Gérard, Patrick; Xu, Chao-Jiang
32
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. 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
174
1999
Description of the lack of compactness for the Sobolev imbedding. Zbl 0907.46027
Gérard, P.
49
1998
Homogenization limits and Wigner transforms. Zbl 0881.35099
Gérard, Patrick; Markowich, Peter A.; Mauser, Norbert J.; Poupaud, Frédéric
178
1997
A necessary and sufficient condition for the exact controllability of the wave equation. Zbl 0906.93008
Burq, Nicolas; Gérard, Patrick
69
1997
Sharp Sobolev inequalities. Zbl 1066.46501
Gerard, Patrick; Meyer, Yves; Oru, Frédérique
29
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. Zbl 1068.35522
Bahouri, Hajer; Gerard, Patrick
1
1997
Oscillations of concentration effects in semilinear dispersive wave equations. Zbl 0868.35075
Gérard, Patrick
35
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
78
1993
Diffraction of a wave at a corner. Zbl 0779.35063
Gérard, Patrick; Lebeau, Gilles
12
1993
Remarks on the semiclassical analysis of the nonlinear Schrödinger equation. Zbl 0874.35111
Gérard, Patrick
8
1993
Averaging regularity results for PDEs under transversality assumptions. Zbl 0832.35020
Gérard, Patrick; Golse, François
13
1992
Recent results concerning two-dimensional incompressible perfect fluids (after J.-Y. Chemin and J.-M. Delort). Zbl 1154.76321
Gérard, Patrick
8
1992
Microlocal defect measures. Zbl 0770.35001
Gérard, Patrick
169
1991
Pseudo-differential operators and the Nash-Moser theorem. Zbl 0791.47044
Alinhac, Serge; Gérard, Patrick
53
1991
Mesures semi-classiques et ondes de Bloch. (Semiclassical measures and Bloch waves). Zbl 0739.35096
Gérard, P.
26
1991
Moyennisation et régularité deux-microlocale. (Second microlocal averaging and regularity). Zbl 0725.35003
Gérard, Patrick
11
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
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
2
1988
Regularization by averaging for solutions of partial differential equations. Zbl 0724.35115
Gérard, P.
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.
6
1987
Moyennes de solutions d’équations aux dérivées partielles. (Means of solutions of partial differential equations). Zbl 0657.35020
Gerard, P.
4
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 1,124 Authors

33 Tzvetkov, Nikolay
29 Burq, Nicolas
28 Gerard, Patrick
23 Carles, Rémi
19 Kenig, Carlos Eduardo
18 Fermanian-Kammerer, Clotilde
17 Bal, Guillaume
16 Bahouri, Hajer
16 Cavalcanti, Marcelo Moreira
15 Duyckaerts, Thomas
15 Gallagher, Isabelle
15 Ryzhik, Lenya
14 Jin, Shi
14 Markowich, Peter Alexander
13 Merle, Frank
13 Panov, Evgeniy Yu.
13 Paul, Thierry
12 Nakanishi, Kenji
12 Oh, Tadahiro
11 Antonić, Nenad
11 Domingos Cavalcanti, Valéria Neves
11 Mauser, Norbert Julius
11 Visciglia, Nicola
11 Zuazua, Enrique
10 Galkowski, Jeffrey
10 Lebeau, Gilles
10 Masmoudi, Nader
10 Perthame, Benoît
9 Laurent, Camille
9 Lazar, Martin
9 Léautaud, Matthieu
9 Macià, Fabricio
9 Miao, Changxing
9 Mitrovic, Darko
9 Planchon, Fabrice
9 Schlag, Wilhelm
9 Sogge, Christopher D.
9 Sparber, Christof
9 Tataru, Daniel
9 Toth, John Andrew
8 Allaire, Grégoire
8 Grellier, Sandrine
8 Hani, Zaher
8 Hassell, Andrew
8 Ibrahim, Slim
8 Lawrie, Andrew G. W.
8 Majdoub, Mohamed
8 Pausader, Benoît
8 Pinaud, Olivier
8 Tacy, Melissa
8 Trélat, Emmanuel
8 Xu, Guixiang
7 Alabau-Boussouira, Fatiha
7 Athanassoulis, Agisillaos
7 Banica, Valeria
7 Blair, Matthew D.
7 Christianson, Hans
7 Ervedoza, Sylvain
7 Evnin, Oleg
7 Gravejat, Philippe
7 Guo, Zihua
7 Krieger, Joachim
7 Kwon, Soonsik
7 Raphael, Pierre
7 Rosier, Lionel
7 Saut, Jean-Claude
7 Thomann, Laurent
7 Visan, Monica
6 Alazard, Thomas
6 Aloui, Lassaad
6 Bao, Weizhu
6 Bardos, Claude Williams
6 Chemin, Jean-Yves
6 Keraani, Sahbi
6 Killip, Rowan
6 Marzuola, Jeremy L.
6 Méhats, Florian
6 Pocovnicu, Oana
6 Salort, Delphine
6 Soler, Juan S.
6 Zelditch, Steve
5 Corrêa, Wellington José
5 Côte, Raphaël
5 de Laire, André
5 Dehman, Belhassen
5 Gala, Sadek
5 Germain, Pierre
5 Haus, Emanuele
5 Herr, Sebastian
5 Israwi, Samer
5 Komorowski, Tomasz
5 Lasser, Caroline
5 Lee, Sanghyuk
5 Lenzmann, Enno
5 Liu, Hailiang
5 Mizutani, Haruya
5 Nier, Francis
5 Pierfelice, Vittoria
5 Pilipović, Stevan
5 Poupaud, Frédéric
...and 1,024 more Authors
all top 5

Cited in 216 Serials

71 Journal of Differential Equations
65 Communications in Partial Differential Equations
60 Communications in Mathematical Physics
51 Journal of Functional Analysis
41 Archive for Rational Mechanics and Analysis
38 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
38 Journal de Mathématiques Pures et Appliquées. Neuvième Série
30 Journal of Mathematical Physics
29 Comptes Rendus. Mathématique. Académie des Sciences, Paris
27 Transactions of the American Mathematical Society
23 Journal of Mathematical Analysis and Applications
19 Duke Mathematical Journal
18 Discrete and Continuous Dynamical Systems
17 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
16 Journal of Computational Physics
16 Communications on Pure and Applied Analysis
15 Mathematische Annalen
15 Journal of the European Mathematical Society (JEMS)
15 Journal of Hyperbolic Differential Equations
14 Proceedings of the American Mathematical Society
14 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
13 Annales de l’Institut Fourier
13 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
12 Communications on Pure and Applied Mathematics
12 Inventiones Mathematicae
12 SIAM Journal on Mathematical Analysis
12 Séminaire Laurent Schwartz. EDP et Applications
11 Nonlinearity
11 Communications in Contemporary Mathematics
11 Analysis & PDE
10 Advances in Mathematics
10 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
10 Revista Matemática Iberoamericana
10 Journal of the American Mathematical Society
8 Wave Motion
8 The Journal of Geometric Analysis
8 Geometric and Functional Analysis. GAFA
8 Annales Henri Poincaré
8 Science China. Mathematics
7 Bulletin de la Société Mathématique de France
7 Journal of Mathematical Sciences (New York)
7 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
7 Journal of Pseudo-Differential Operators and Applications
7 Annals of PDE
6 Transport Theory and Statistical Physics
6 Annali di Matematica Pura ed Applicata. Serie Quarta
6 Mathematische Zeitschrift
6 Physica D
6 Forum Mathematicum
6 NoDEA. Nonlinear Differential Equations and Applications
6 The Journal of Fourier Analysis and Applications
6 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
5 Applicable Analysis
5 Journal d’Analyse Mathématique
5 Journal of Statistical Physics
5 ZAMP. Zeitschrift für angewandte Mathematik und Physik
5 SIAM Journal on Control and Optimization
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 Journal of Spectral Theory
4 Mathematical Methods in the Applied Sciences
4 Numerische Mathematik
4 Quarterly of Applied Mathematics
4 Journal of Dynamics and Differential Equations
4 Calculus of Variations and Partial Differential Equations
4 Applied and Computational Harmonic Analysis
4 Acta Mathematica Sinica. English Series
4 Journal of Evolution Equations
4 Journal of the Institute of Mathematics of Jussieu
3 Israel Journal of Mathematics
3 Journal of the Mathematical Society of Japan
3 Journal für die Reine und Angewandte Mathematik
3 Proceedings of the London Mathematical Society. Third Series
3 Chinese Annals of Mathematics. Series B
3 MCSS. Mathematics of Control, Signals, and Systems
3 International Journal of Mathematics
3 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
3 SIAM Journal on Applied Mathematics
3 Potential 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
3 Nonlinear Analysis. Real World Applications
3 Bulletin of the Brazilian Mathematical Society. New Series
3 Multiscale Modeling & Simulation
3 Mediterranean Journal of Mathematics
3 Discrete and Continuous Dynamical Systems. Series S
3 Kyoto Journal of Mathematics
3 Mathematical Control and Related Fields
3 Stochastic and Partial Differential Equations. Analysis and Computations
3 Evolution Equations and Control Theory
3 Nonlinear Analysis. Theory, Methods & Applications
3 Journal de l’École Polytechnique – Mathématiques
3 Annales Henri Lebesgue
2 Computers & Mathematics with Applications
2 Reviews in Mathematical Physics
...and 116 more Serials
all top 5

Cited in 48 Fields

1,011 Partial differential equations (35-XX)
184 Quantum theory (81-XX)
153 Global analysis, analysis on manifolds (58-XX)
110 Fluid mechanics (76-XX)
105 Dynamical systems and ergodic theory (37-XX)
91 Statistical mechanics, structure of matter (82-XX)
89 Systems theory; control (93-XX)
74 Operator theory (47-XX)
66 Functional analysis (46-XX)
61 Harmonic analysis on Euclidean spaces (42-XX)
53 Numerical analysis (65-XX)
51 Mechanics of deformable solids (74-XX)
39 Calculus of variations and optimal control; optimization (49-XX)
37 Optics, electromagnetic theory (78-XX)
33 Differential geometry (53-XX)
32 Probability theory and stochastic processes (60-XX)
22 Ordinary differential equations (34-XX)
20 Topological groups, Lie groups (22-XX)
15 Abstract harmonic analysis (43-XX)
13 Number theory (11-XX)
9 Functions of a complex variable (30-XX)
8 Real functions (26-XX)
8 Special functions (33-XX)
8 Mechanics of particles and systems (70-XX)
7 Relativity and gravitational theory (83-XX)
6 Geophysics (86-XX)
4 Linear and multilinear algebra; matrix theory (15-XX)
4 Measure and integration (28-XX)
4 Integral transforms, operational calculus (44-XX)
4 Integral equations (45-XX)
4 Biology and other natural sciences (92-XX)
4 Information and communication theory, circuits (94-XX)
3 General and overarching topics; collections (00-XX)
3 Group theory and generalizations (20-XX)
3 Potential theory (31-XX)
3 Approximations and expansions (41-XX)
3 Classical thermodynamics, heat transfer (80-XX)
3 Astronomy and astrophysics (85-XX)
3 Operations research, mathematical programming (90-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 Algebraic geometry (14-XX)
1 Nonassociative rings and algebras (17-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Difference and functional equations (39-XX)
1 Sequences, series, summability (40-XX)
1 General topology (54-XX)

Citations by Year

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