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Author ID: gerard.christian Recent zbMATH articles by "Gérard, Christian"
Published as: Gérard, Christian; Gérard, C.; Gerard, C.
Homepage: http://www.math.u-psud.fr/~gerard/
External Links: MGP · ResearchGate

Publications by Year

Citations contained in zbMATH Open

79 Publications have been cited 1,358 times in 778 Documents Cited by Year
Scattering theory of classical and quantum \(N\)-particle systems. Zbl 0899.47007
Dereziński, Jan; Gérard, Christian
126
1997
Asymptotic completeness in quantum field theory. Massive Pauli-Fierz Hamiltonians. Zbl 1044.81556
Dereziński, J.; Gérard, C.
103
1999
Mathematics of quantization and quantum fields. Zbl 1271.81004
Dereziński, Jan; Gérard, Christian
74
2013
On the existence of ground states for massless Pauli-Fierz Hamiltonians. Zbl 1004.81012
Gérard, C.
61
2000
On the virial theorem in quantum mechanics. Zbl 0961.81009
Georgescu, V.; Gérard, C.
55
1999
The Mourre theory for analytically fibered operators. Zbl 0939.47019
Gérard, Christian; Nier, Francis
48
1998
Semiclassical resonances generated by a closed trajectory of hyperbolic type. Zbl 0637.35027
Gérard, C.; Sjöstrand, J.
45
1987
Spectral theory of massless Pauli-Fierz models. Zbl 1091.81059
Georgescu, V.; Gérard, C.; Møller, J. S.
41
2004
Construction of Hadamard states by pseudo-differential calculus. Zbl 1298.81214
Gérard, C.; Wrochna, M.
36
2014
A proof of the abstract limiting absorption principle by energy estimates. Zbl 1141.47017
Gérard, Christian
36
2008
Commutators, \(C_{0}\)-semigroups and resolvent estimates. Zbl 1073.47518
Georgescu, V.; Gérard, C.; Møller, J. S.
35
2004
A mathematical approach to the effective Hamiltonian in perturbed periodic problems. Zbl 0753.35057
Gerard, C.; Martinez, A.; Sjöstrand, J.
32
1991
Principe d’absorption limite pour des opérateurs de Schrödinger à longue portée. (Limiting absorption principle for long range Schrödinger operators). Zbl 0672.35013
Gérard, Christian; Martinez, André
31
1988
Spectral and scattering theory of spatially cut-off \(P(\varphi)_2\) Hamiltonians. Zbl 1082.81518
Dereziński, J.; Gérard, C.
29
2000
Precise estimates for tunneling and eigenvalues near a potential barrier. Zbl 0668.34022
Gerard, C.; Grigis, A.
28
1988
Asymptotique des pôles de la matrice de scattering pour deux obstacles strictement convexes. (Asymptotics of the poles of the scattering matrix for two strictly convex obstacles). Zbl 0654.35081
Gérard, C.
27
1988
Hadamard states for the linearized Yang-Mills equation on curved spacetime. Zbl 1314.83025
Gérard, C.; Wrochna, M.
25
2015
On the scattering theory of massless Nelson models. Zbl 1039.81053
Gérard, C.
24
2002
Scattering theory of infrared divergent Pauli-Fierz Hamiltonians. Zbl 1060.81060
Dereziński, Jan; Gérard, Christian
24
2004
Scattering theory for the perturbations of periodic Schrödinger operators. Zbl 0934.35111
Gérard, Christian; Nier, Francis
22
1998
Multiparticle quantum scattering in constant magnetic fields. Zbl 1044.81123
Gérard, Christian; Łaba, Izabella
21
2002
Hadamard states for the Klein-Gordon equation on Lorentzian manifolds of bounded geometry. Zbl 1364.35362
Gérard, Christian; Oulghazi, Omar; Wrochna, Michał
20
2017
\(N\)-body resolvent estimates. Zbl 0851.35101
Gérard, Christian; Isozaki, Hiroshi; Skibsted, Erik
17
1996
Breit-Wigner formulas for the scattering phase and the total scattering cross-section in the semi-classical limit. Zbl 0704.35114
Gérard, C.; Martinez, A.; Robert, D.
17
1989
Space-time picture of semiclassical resonances. Zbl 0755.35102
Gérard, C.; Sigal, I. M.
16
1992
Sharp propagation estimates for \(N\)-particle systems. Zbl 0760.35049
Gérard, C.
16
1992
The massive Feynman propagator on asymptotically Minkowski spacetimes. Zbl 1450.83003
Gérard, Christian; Wrochna, Michał
16
2019
Asymptotic completeness for the spin-boson model with a particle number cutoff. Zbl 0858.47040
Gérard, C.
15
1996
Asymptotic completeness for superradiant Klein-Gordon equations and applications to the de Sitter-Kerr metric. Zbl 1456.35122
Georgescu, Vladimir; Gérard, Christian; Häfner, Dietrich
15
2017
Construction of Hadamard states by characteristic Cauchy problem. Zbl 1334.83020
Gérard, Christian; Wrochna, Michał
14
2016
Long-range scattering in the position representation. Zbl 0886.34072
Dereziński, J.; Gérard, C.
13
1997
Commutator algebra and resolvent estimates. Zbl 0814.35086
Gérard, Christian; Isozaki, Hiroshi; Skibsted, Erik
12
1994
Prolongement méromorphe de la matrice de scattering pour des problèmes à deux corps à longue portée. (Meromorphic extension of the scattering matrix for long range two body problems). Zbl 0711.35097
Gérard, Christian; Martinez, André
11
1989
Hadamard property of the in and out states for Klein-Gordon fields on asymptotically static spacetimes. Zbl 1373.81365
Gérard, Christian; Wrochna, Michał
11
2017
Analytic Hadamard states, Calderón projectors and Wick rotation near analytic Cauchy surfaces. Zbl 1414.58002
Gérard, Christian; Wrochna, Michał
11
2019
Microlocal analysis of quantum fields on curved spacetimes. Zbl 1444.35008
Gérard, Christian
11
2019
The massive Feynman propagator on asymptotically Minkowski spacetimes. II. Zbl 1459.81038
Gérard, Christian; Wrochna, Michał
11
2020
Resonances en limite semiclassique et exposants de Lyapunov. (Resonances in semiclassical limit and Lyapunov exponents). Zbl 0698.35118
Gérard, C.; Sjöstrand, J.
10
1988
Resonance theory for periodic Schrödinger operators. Zbl 0723.35059
Gérard, Christian
10
1990
The Mourre estimate for regular dispersive systems. Zbl 0724.35083
Gérard, C.
10
1991
Semiclassical asymptotics for the spectral function of long-range Schrödinger operators. Zbl 0692.35069
Gerard, C.; Martinez, A.
9
1989
Resolvent and propagation estimates for Klein-Gordon equations with non-positive energy. Zbl 1326.35212
Georgescu, Vladimir; Gérard, Christian; Häfner, Dietrich
8
2015
On the adiabatic limit of Hadamard states. Zbl 1374.81068
Drago, Nicolò; Gérard, Christian
8
2017
Asymptotic completeness for 3-particle long-range systems. Zbl 0812.70006
Gérard, C.
8
1993
Boundary values of resolvents of selfadjoint operators in Krein spaces. Zbl 1310.47055
Georgescu, V.; Gérard, C.; Häfner, D.
8
2013
Infrared problem for the Nelson model on static space-times. Zbl 1269.83036
Gérard, Christian; Hiroshima, Fumio; Panati, Annalisa; Suzuki, Akito
8
2011
Generalized definition of time delay in scattering theory. Zbl 1153.81365
Gérard, Christian; Tiedra de Aldecoa, Rafael
8
2007
Resonance theory in atom-surface scattering. Zbl 0682.47003
Gerard, C.
7
1989
Asymptotic completeness in quantum field theory: translation invariant Nelson type models restricted to the vacuum and one-particle sectors. Zbl 1209.81149
Gérard, Christian; Møller, Jacob Schach; Rasmussen, Morten Grud
7
2011
Scattering theory for \(N\)-particle systems in constant magnetic fields. Zbl 0828.35098
Gérard, C.; Łaba, I.
7
1994
Infrared divergence of a scalar quantum field model on a pseudo Riemannian manifold. Zbl 1180.81098
Gérard, Christian; Hiroshima, Fumio; Panati, Annalisa; Suzuki, Akito
7
2009
A criterion for asymptotic completeness in local relativistic QFT. Zbl 1309.81125
Dybalski, Wojciech; Gérard, Christian
7
2014
Removal of UV cutoff for the Nelson model with variable coefficients. Zbl 1257.81053
Gérard, Christian; Hiroshima, Fumio; Panati, Annalisa; Suzuki, Akito
6
2012
Absence of ground state for the Nelson model on static space-times. Zbl 1238.81161
Gérard, C.; Hiroshima, F.; Panati, A.; Suzuki, A.
6
2012
Propagation de la polarisation pour des problèmes aux limites convexes pour les bicaractéristiques. (Propagation of the polarization for convex boundary value problems for the bicharacteristics). Zbl 0593.58037
Gerard, C.
5
1985
Collisions for the quantum Coulomb Hamiltonian. Zbl 0743.35054
Gérard, C.; Knauf, A.
5
1991
Distortion analyticity for \(N\)-particle Hamiltonians. Zbl 0826.35102
Gérard, C.
4
1993
Scattering theory for \(N\)-particle systems in constant magnetic fields. II: Long-range interactions. Zbl 0842.35069
Gérard, C.; Łaba, I.
4
1995
Semiclassical resolvent estimates for two and three-body Schrödinger operators. Zbl 0711.35095
Gérard, C.
4
1990
Scattering theory for Klein-Gordon equations with non-positive energy. Zbl 1253.81049
Gérard, Christian
4
2012
A remark on asymptotic clustering for \(N\)-particle quantum systems. Zbl 0784.47055
Derezinski, J.; Gérard, C.
4
1992
Thermal quantum fields without cut-offs in \(1+1\) space-time dimensions. Zbl 1078.81055
Gérard, Christian; Jäkel, Christian D.
4
2005
On the Hartle-Hawking-Israel states for spacetimes with static bifurcate Killing horizons. Zbl 1438.81021
Gérard, Christian
4
2019
Hadamard states for quantized Dirac fields on Lorentzian manifolds of bounded geometry. Zbl 1490.81110
Gérard, Christian; Stoskopf, Théo
4
2022
Thermal quantum fields with spatially cutoff interactions in 1+1 space–time dimensions. Zbl 1071.81080
Gérard, Christian; Jäkel, Christian D.
4
2005
Spectral and scattering theory for some abstract QFT Hamiltonians. Zbl 1166.81326
Gérard, C.; Panati, A.
4
2009
Scattering theory for 3-particle systems in constant magnetic fields: dispersive case. Zbl 0853.35098
Gérard, Christian; Łaba, Izabella
3
1996
Asymptotique des pôles de la matrice de scattering pour deux obstacles strictement convexes. (Asymptotic properties of poles of the scattering matrix for two strictly convex obstacles). Zbl 0622.35054
Gerard, C.
3
1986
Positive energy quantization of linear dynamics. Zbl 1214.81279
Dereziński, Jan; Gérard, Christian
3
2010
Spectral and scattering theory for space-cutoff \(P(\varphi )_{2}\) models with variable metric. Zbl 1165.81033
Gérard, Christian; Panati, Annalisa
3
2008
Towards asymptotic completeness of two-particle scattering in local relativistic QFT. Zbl 1288.81067
Dybalski, Wojciech; Gérard, Christian
3
2014
Hawking effect for a toy model of interacting fermions. Zbl 1314.83028
Bouvier, Patrick; Gérard, Christian
2
2015
The Unruh state for massless fermions on Kerr spacetime and its Hadamard property. Zbl 07714397
Gérard, Christian; Häfner, Dietrich; Wrochna, Michal
2
2023
Semiclassical resolvent estimates for two and three-body Schrödinger operators. Zbl 0711.35096
Gérard, Christian
1
1989
An introduction to quantum field theory on curved spacetimes. Zbl 1416.83032
Gérard, Christian
1
2018
Réflexion du front d’onde polarisé des solutions de systèmes d’équations aux dérivées partielles. (Reflection of polarization set of solutions to systems of partial differential equations). Zbl 0555.35012
Gérard, Christian
1
1983
Asymptotique semi-classique de la fonction spectrale pour des opérateurs de Schrödinger à longue portée. (Semiclassical asymptotics of the spectral function for long range Schrödinger operators). Zbl 0648.35061
Gérard, C.; Martinez, A.
1
1987
The Feynman problem for the Klein-Gordon equation. Zbl 1497.35531
Gérard, Christian; Wrochna, Michał
1
2020
Hadamard property of the in and out states for Dirac fields on asymptotically static spacetimes. Zbl 1492.81075
Gérard, Christian; Stoskopf, Théo
1
2022
The Unruh state for massless fermions on Kerr spacetime and its Hadamard property. Zbl 07714397
Gérard, Christian; Häfner, Dietrich; Wrochna, Michal
2
2023
Hadamard states for quantized Dirac fields on Lorentzian manifolds of bounded geometry. Zbl 1490.81110
Gérard, Christian; Stoskopf, Théo
4
2022
Hadamard property of the in and out states for Dirac fields on asymptotically static spacetimes. Zbl 1492.81075
Gérard, Christian; Stoskopf, Théo
1
2022
The massive Feynman propagator on asymptotically Minkowski spacetimes. II. Zbl 1459.81038
Gérard, Christian; Wrochna, Michał
11
2020
The Feynman problem for the Klein-Gordon equation. Zbl 1497.35531
Gérard, Christian; Wrochna, Michał
1
2020
The massive Feynman propagator on asymptotically Minkowski spacetimes. Zbl 1450.83003
Gérard, Christian; Wrochna, Michał
16
2019
Analytic Hadamard states, Calderón projectors and Wick rotation near analytic Cauchy surfaces. Zbl 1414.58002
Gérard, Christian; Wrochna, Michał
11
2019
Microlocal analysis of quantum fields on curved spacetimes. Zbl 1444.35008
Gérard, Christian
11
2019
On the Hartle-Hawking-Israel states for spacetimes with static bifurcate Killing horizons. Zbl 1438.81021
Gérard, Christian
4
2019
An introduction to quantum field theory on curved spacetimes. Zbl 1416.83032
Gérard, Christian
1
2018
Hadamard states for the Klein-Gordon equation on Lorentzian manifolds of bounded geometry. Zbl 1364.35362
Gérard, Christian; Oulghazi, Omar; Wrochna, Michał
20
2017
Asymptotic completeness for superradiant Klein-Gordon equations and applications to the de Sitter-Kerr metric. Zbl 1456.35122
Georgescu, Vladimir; Gérard, Christian; Häfner, Dietrich
15
2017
Hadamard property of the in and out states for Klein-Gordon fields on asymptotically static spacetimes. Zbl 1373.81365
Gérard, Christian; Wrochna, Michał
11
2017
On the adiabatic limit of Hadamard states. Zbl 1374.81068
Drago, Nicolò; Gérard, Christian
8
2017
Construction of Hadamard states by characteristic Cauchy problem. Zbl 1334.83020
Gérard, Christian; Wrochna, Michał
14
2016
Hadamard states for the linearized Yang-Mills equation on curved spacetime. Zbl 1314.83025
Gérard, C.; Wrochna, M.
25
2015
Resolvent and propagation estimates for Klein-Gordon equations with non-positive energy. Zbl 1326.35212
Georgescu, Vladimir; Gérard, Christian; Häfner, Dietrich
8
2015
Hawking effect for a toy model of interacting fermions. Zbl 1314.83028
Bouvier, Patrick; Gérard, Christian
2
2015
Construction of Hadamard states by pseudo-differential calculus. Zbl 1298.81214
Gérard, C.; Wrochna, M.
36
2014
A criterion for asymptotic completeness in local relativistic QFT. Zbl 1309.81125
Dybalski, Wojciech; Gérard, Christian
7
2014
Towards asymptotic completeness of two-particle scattering in local relativistic QFT. Zbl 1288.81067
Dybalski, Wojciech; Gérard, Christian
3
2014
Mathematics of quantization and quantum fields. Zbl 1271.81004
Dereziński, Jan; Gérard, Christian
74
2013
Boundary values of resolvents of selfadjoint operators in Krein spaces. Zbl 1310.47055
Georgescu, V.; Gérard, C.; Häfner, D.
8
2013
Removal of UV cutoff for the Nelson model with variable coefficients. Zbl 1257.81053
Gérard, Christian; Hiroshima, Fumio; Panati, Annalisa; Suzuki, Akito
6
2012
Absence of ground state for the Nelson model on static space-times. Zbl 1238.81161
Gérard, C.; Hiroshima, F.; Panati, A.; Suzuki, A.
6
2012
Scattering theory for Klein-Gordon equations with non-positive energy. Zbl 1253.81049
Gérard, Christian
4
2012
Infrared problem for the Nelson model on static space-times. Zbl 1269.83036
Gérard, Christian; Hiroshima, Fumio; Panati, Annalisa; Suzuki, Akito
8
2011
Asymptotic completeness in quantum field theory: translation invariant Nelson type models restricted to the vacuum and one-particle sectors. Zbl 1209.81149
Gérard, Christian; Møller, Jacob Schach; Rasmussen, Morten Grud
7
2011
Positive energy quantization of linear dynamics. Zbl 1214.81279
Dereziński, Jan; Gérard, Christian
3
2010
Infrared divergence of a scalar quantum field model on a pseudo Riemannian manifold. Zbl 1180.81098
Gérard, Christian; Hiroshima, Fumio; Panati, Annalisa; Suzuki, Akito
7
2009
Spectral and scattering theory for some abstract QFT Hamiltonians. Zbl 1166.81326
Gérard, C.; Panati, A.
4
2009
A proof of the abstract limiting absorption principle by energy estimates. Zbl 1141.47017
Gérard, Christian
36
2008
Spectral and scattering theory for space-cutoff \(P(\varphi )_{2}\) models with variable metric. Zbl 1165.81033
Gérard, Christian; Panati, Annalisa
3
2008
Generalized definition of time delay in scattering theory. Zbl 1153.81365
Gérard, Christian; Tiedra de Aldecoa, Rafael
8
2007
Thermal quantum fields without cut-offs in \(1+1\) space-time dimensions. Zbl 1078.81055
Gérard, Christian; Jäkel, Christian D.
4
2005
Thermal quantum fields with spatially cutoff interactions in 1+1 space–time dimensions. Zbl 1071.81080
Gérard, Christian; Jäkel, Christian D.
4
2005
Spectral theory of massless Pauli-Fierz models. Zbl 1091.81059
Georgescu, V.; Gérard, C.; Møller, J. S.
41
2004
Commutators, \(C_{0}\)-semigroups and resolvent estimates. Zbl 1073.47518
Georgescu, V.; Gérard, C.; Møller, J. S.
35
2004
Scattering theory of infrared divergent Pauli-Fierz Hamiltonians. Zbl 1060.81060
Dereziński, Jan; Gérard, Christian
24
2004
On the scattering theory of massless Nelson models. Zbl 1039.81053
Gérard, C.
24
2002
Multiparticle quantum scattering in constant magnetic fields. Zbl 1044.81123
Gérard, Christian; Łaba, Izabella
21
2002
On the existence of ground states for massless Pauli-Fierz Hamiltonians. Zbl 1004.81012
Gérard, C.
61
2000
Spectral and scattering theory of spatially cut-off \(P(\varphi)_2\) Hamiltonians. Zbl 1082.81518
Dereziński, J.; Gérard, C.
29
2000
Asymptotic completeness in quantum field theory. Massive Pauli-Fierz Hamiltonians. Zbl 1044.81556
Dereziński, J.; Gérard, C.
103
1999
On the virial theorem in quantum mechanics. Zbl 0961.81009
Georgescu, V.; Gérard, C.
55
1999
The Mourre theory for analytically fibered operators. Zbl 0939.47019
Gérard, Christian; Nier, Francis
48
1998
Scattering theory for the perturbations of periodic Schrödinger operators. Zbl 0934.35111
Gérard, Christian; Nier, Francis
22
1998
Scattering theory of classical and quantum \(N\)-particle systems. Zbl 0899.47007
Dereziński, Jan; Gérard, Christian
126
1997
Long-range scattering in the position representation. Zbl 0886.34072
Dereziński, J.; Gérard, C.
13
1997
\(N\)-body resolvent estimates. Zbl 0851.35101
Gérard, Christian; Isozaki, Hiroshi; Skibsted, Erik
17
1996
Asymptotic completeness for the spin-boson model with a particle number cutoff. Zbl 0858.47040
Gérard, C.
15
1996
Scattering theory for 3-particle systems in constant magnetic fields: dispersive case. Zbl 0853.35098
Gérard, Christian; Łaba, Izabella
3
1996
Scattering theory for \(N\)-particle systems in constant magnetic fields. II: Long-range interactions. Zbl 0842.35069
Gérard, C.; Łaba, I.
4
1995
Commutator algebra and resolvent estimates. Zbl 0814.35086
Gérard, Christian; Isozaki, Hiroshi; Skibsted, Erik
12
1994
Scattering theory for \(N\)-particle systems in constant magnetic fields. Zbl 0828.35098
Gérard, C.; Łaba, I.
7
1994
Asymptotic completeness for 3-particle long-range systems. Zbl 0812.70006
Gérard, C.
8
1993
Distortion analyticity for \(N\)-particle Hamiltonians. Zbl 0826.35102
Gérard, C.
4
1993
Space-time picture of semiclassical resonances. Zbl 0755.35102
Gérard, C.; Sigal, I. M.
16
1992
Sharp propagation estimates for \(N\)-particle systems. Zbl 0760.35049
Gérard, C.
16
1992
A remark on asymptotic clustering for \(N\)-particle quantum systems. Zbl 0784.47055
Derezinski, J.; Gérard, C.
4
1992
A mathematical approach to the effective Hamiltonian in perturbed periodic problems. Zbl 0753.35057
Gerard, C.; Martinez, A.; Sjöstrand, J.
32
1991
The Mourre estimate for regular dispersive systems. Zbl 0724.35083
Gérard, C.
10
1991
Collisions for the quantum Coulomb Hamiltonian. Zbl 0743.35054
Gérard, C.; Knauf, A.
5
1991
Resonance theory for periodic Schrödinger operators. Zbl 0723.35059
Gérard, Christian
10
1990
Semiclassical resolvent estimates for two and three-body Schrödinger operators. Zbl 0711.35095
Gérard, C.
4
1990
Breit-Wigner formulas for the scattering phase and the total scattering cross-section in the semi-classical limit. Zbl 0704.35114
Gérard, C.; Martinez, A.; Robert, D.
17
1989
Prolongement méromorphe de la matrice de scattering pour des problèmes à deux corps à longue portée. (Meromorphic extension of the scattering matrix for long range two body problems). Zbl 0711.35097
Gérard, Christian; Martinez, André
11
1989
Semiclassical asymptotics for the spectral function of long-range Schrödinger operators. Zbl 0692.35069
Gerard, C.; Martinez, A.
9
1989
Resonance theory in atom-surface scattering. Zbl 0682.47003
Gerard, C.
7
1989
Semiclassical resolvent estimates for two and three-body Schrödinger operators. Zbl 0711.35096
Gérard, Christian
1
1989
Principe d’absorption limite pour des opérateurs de Schrödinger à longue portée. (Limiting absorption principle for long range Schrödinger operators). Zbl 0672.35013
Gérard, Christian; Martinez, André
31
1988
Precise estimates for tunneling and eigenvalues near a potential barrier. Zbl 0668.34022
Gerard, C.; Grigis, A.
28
1988
Asymptotique des pôles de la matrice de scattering pour deux obstacles strictement convexes. (Asymptotics of the poles of the scattering matrix for two strictly convex obstacles). Zbl 0654.35081
Gérard, C.
27
1988
Resonances en limite semiclassique et exposants de Lyapunov. (Resonances in semiclassical limit and Lyapunov exponents). Zbl 0698.35118
Gérard, C.; Sjöstrand, J.
10
1988
Semiclassical resonances generated by a closed trajectory of hyperbolic type. Zbl 0637.35027
Gérard, C.; Sjöstrand, J.
45
1987
Asymptotique semi-classique de la fonction spectrale pour des opérateurs de Schrödinger à longue portée. (Semiclassical asymptotics of the spectral function for long range Schrödinger operators). Zbl 0648.35061
Gérard, C.; Martinez, A.
1
1987
Asymptotique des pôles de la matrice de scattering pour deux obstacles strictement convexes. (Asymptotic properties of poles of the scattering matrix for two strictly convex obstacles). Zbl 0622.35054
Gerard, C.
3
1986
Propagation de la polarisation pour des problèmes aux limites convexes pour les bicaractéristiques. (Propagation of the polarization for convex boundary value problems for the bicharacteristics). Zbl 0593.58037
Gerard, C.
5
1985
Réflexion du front d’onde polarisé des solutions de systèmes d’équations aux dérivées partielles. (Reflection of polarization set of solutions to systems of partial differential equations). Zbl 0555.35012
Gérard, Christian
1
1983
all top 5

Cited by 597 Authors

44 Gérard, Christian
20 Dybalski, Wojciech
18 Vasy, András
17 Faupin, Jérémy
17 Hiroshima, Fumio
17 Sigal, Israel Michael
17 Wrochna, Michał
16 Bony, Jean-François
16 Møller, Jacob Schach
15 Dereziński, Jan
15 Skibsted, Erik
13 Fujiié, Setsuro
13 Häfner, Dietrich
13 Soffer, Avraham
12 Adachi, Tadayoshi
12 Dimassi, Mouez
12 Fröhlich, Jürg Martin
12 Guillot, Jean-Claude
12 Tiedra de Aldecoa, Rafael
11 Amour, Laurent
11 Georgescu, Vladimir
11 Martinez, André
11 Ramond, Thierry
11 Richard, Serge
11 Sjöstrand, Johannes
10 Murro, Simone
9 Bruneau, Vincent
9 Burq, Nicolas
9 Golénia, Sylvain
9 Griesemer, Marcel
9 Lewin, Mathieu
9 Zworski, Maciej
8 Dappiaggi, Claudio
8 Falconi, Marco
8 Nourrigat, Jean Francois
8 Zerzeri, Maher
7 Arai, Asao
7 Drago, Nicolò
7 Hasler, David G.
7 Klein, Markus
7 Nakamura, Shu
7 Nier, Francis
7 Petkov, Vesselin M.
7 Pizzo, Alessandro
7 Takaesu, Toshimitsu
6 Deckert, Dirk-André
6 Drouot, Alexis
6 Fournais, Søren
6 Herbst, Ira W.
6 Isozaki, Hiroshi
6 Lörinczi, József
6 Niikuni, Hiroaki
6 Panati, Annalisa
6 Robert, Didier
6 Rougerie, Nicolas
5 Ammari, Zied
5 Barbaroux, Jean-Marie
5 Carles, Rémi
5 Cornean, Horia D.
5 De Roeck, Wojciech
5 Hassell, Andrew
5 Hirokawa, Masao
5 Knauf, Andreas
5 Kuchment, Peter A.
5 Michel, Laurent
5 Nistor, Victor
5 Nonnenmacher, Stéphane
5 Phan Thành Nam
5 Popoff, Nicolas
5 Suzuki, Akito
5 Taira, Kouichi
5 Tamura, Hideo
4 Bach, Volker
4 Ballesteros, Miguel
4 Bouclet, Jean-Marc
4 Bourget, Olivier
4 Dam, Thomas Norman
4 Dyatlov, Semyon
4 Grébert, Benoît
4 Hinrichs, Benjamin
4 Ito, Kenichi
4 Jäkel, Christian D.
4 Kawamoto, Masaki
4 Mandich, Marc-Adrien
4 Moretti, Valter
4 Pillet, Claude-Alain
4 Purice, Radu
4 Raikov, Georgi D.
4 Rosenberger, Elke
4 Rouleux, Michel
4 Royer, Julien
4 Sasaki, Itaru
4 Schlein, Benjamin
4 Siemssen, Daniel
4 Soccorsi, Eric
4 Spohn, Herbert
4 Vodev, Georgi
4 Wang, Xueping
4 Zielinski, Lech
3 Ashida, Sohei
...and 497 more Authors
all top 5

Cited in 129 Serials

78 Communications in Mathematical Physics
76 Annales Henri Poincaré
74 Journal of Mathematical Physics
70 Journal of Functional Analysis
53 Reviews in Mathematical Physics
25 Communications in Partial Differential Equations
23 Letters in Mathematical Physics
21 Annales de l’Institut Henri Poincaré. Physique Théorique
18 Journal of Mathematical Analysis and Applications
17 Duke Mathematical Journal
15 Advances in Mathematics
15 Comptes Rendus. Mathématique. Académie des Sciences, Paris
13 Annales de l’Institut Fourier
11 Journal of Differential Equations
8 Reports on Mathematical Physics
8 Transactions of the American Mathematical Society
7 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
7 Bulletin de la Société Mathématique de France
7 Pure and Applied Analysis
6 Journal of Statistical Physics
6 Inventiones Mathematicae
6 Publications of the Research Institute for Mathematical Sciences, Kyoto University
6 Journal de Mathématiques Pures et Appliquées. Neuvième Série
6 Mathematical Physics, Analysis and Geometry
6 Journal of Spectral Theory
5 Archive for Rational Mechanics and Analysis
5 Mathematische Zeitschrift
5 SIAM Journal on Mathematical Analysis
4 Classical and Quantum Gravity
4 Integral Equations and Operator Theory
4 Mathematische Nachrichten
4 Memoirs of the American Mathematical Society
4 Mémoires de la Société Mathématique de France. Nouvelle Série
4 Infinite Dimensional Analysis, Quantum Probability and Related Topics
4 Regular and Chaotic Dynamics
4 Journal of the European Mathematical Society (JEMS)
3 Nuclear Physics. B
3 Acta Mathematica
3 Annals of Global Analysis and Geometry
3 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
3 St. Petersburg Mathematical Journal
3 Documenta Mathematica
3 Journal of Hyperbolic Differential Equations
3 Bulletin of Mathematical Sciences
3 Séminaire Laurent Schwartz. EDP et Applications
2 Journal d’Analyse Mathématique
2 Journal of Computational Physics
2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
2 Arkiv för Matematik
2 Journal of the London Mathematical Society. Second Series
2 Journal of the Mathematical Society of Japan
2 Nagoya Mathematical Journal
2 Tokyo Journal of Mathematics
2 Journal of the American Mathematical Society
2 Sugaku Expositions
2 Quantum Information Processing
2 Journal of the Institute of Mathematics of Jussieu
2 Journal of Physics A: Mathematical and Theoretical
2 Analysis & PDE
2 Advances in Mathematical Physics
2 Kyoto Journal of Mathematics
2 Analysis and Mathematical Physics
2 Journal de l’École Polytechnique – Mathématiques
2 Tunisian Journal of Mathematics
2 Annales Henri Lebesgue
1 Communications on Pure and Applied Mathematics
1 General Relativity and Gravitation
1 International Journal of Theoretical Physics
1 Mathematical Methods in the Applied Sciences
1 Mathematical Notes
1 Nonlinearity
1 Physics Reports
1 Theoretical and Mathematical Physics
1 Wave Motion
1 Journal of Geometry and Physics
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Hiroshima Mathematical Journal
1 Hokkaido Mathematical Journal
1 Journal of Approximation Theory
1 Journal für die Reine und Angewandte Mathematik
1 Osaka Journal of Mathematics
1 Proceedings of the American Mathematical Society
1 Proceedings of the Japan Academy. Series A
1 Quarterly of Applied Mathematics
1 Semigroup Forum
1 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques
1 European Journal of Combinatorics
1 Advances in Applied Mathematics
1 Ergodic Theory and Dynamical Systems
1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 Revista Matemática Iberoamericana
1 Applied Mathematics Letters
1 Asymptotic Analysis
1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
1 The Journal of Geometric Analysis
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 Geometric and Functional Analysis. GAFA
1 Annals of Physics
...and 29 more Serials
all top 5

Cited in 47 Fields

570 Quantum theory (81-XX)
428 Partial differential equations (35-XX)
222 Operator theory (47-XX)
79 Global analysis, analysis on manifolds (58-XX)
71 Statistical mechanics, structure of matter (82-XX)
60 Functional analysis (46-XX)
57 Relativity and gravitational theory (83-XX)
38 Ordinary differential equations (34-XX)
30 Dynamical systems and ergodic theory (37-XX)
29 Mechanics of particles and systems (70-XX)
25 Differential geometry (53-XX)
23 Optics, electromagnetic theory (78-XX)
18 Probability theory and stochastic processes (60-XX)
10 Difference and functional equations (39-XX)
9 Functions of a complex variable (30-XX)
9 Harmonic analysis on Euclidean spaces (42-XX)
8 Combinatorics (05-XX)
7 Mechanics of deformable solids (74-XX)
6 Topological groups, Lie groups (22-XX)
6 Measure and integration (28-XX)
4 Several complex variables and analytic spaces (32-XX)
4 Numerical analysis (65-XX)
4 Fluid mechanics (76-XX)
4 Classical thermodynamics, heat transfer (80-XX)
3 History and biography (01-XX)
3 Real functions (26-XX)
3 Approximations and expansions (41-XX)
3 Calculus of variations and optimal control; optimization (49-XX)
3 Statistics (62-XX)
3 Systems theory; control (93-XX)
2 Algebraic geometry (14-XX)
2 \(K\)-theory (19-XX)
2 Group theory and generalizations (20-XX)
2 Special functions (33-XX)
2 Geometry (51-XX)
2 Astronomy and astrophysics (85-XX)
2 Information and communication theory, circuits (94-XX)
1 Number theory (11-XX)
1 Commutative algebra (13-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Associative rings and algebras (16-XX)
1 Abstract harmonic analysis (43-XX)
1 Convex and discrete geometry (52-XX)
1 General topology (54-XX)
1 Algebraic topology (55-XX)
1 Manifolds and cell complexes (57-XX)
1 Biology and other natural sciences (92-XX)

Citations by Year