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Author ID: bachelot.alain Recent zbMATH articles by "Bachelot, Alain"
Published as: Bachelot, Alain; Bachelot, A.
Homepage: http://al.bachelot.free.fr
External Links: MGP · ResearchGate
Documents Indexed: 74 Publications since 1981
Co-Authors: 14 Co-Authors with 19 Joint Publications
72 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

44 Publications have been cited 291 times in 194 Documents Cited by Year
Problème de Cauchy global pour des systèmes de Dirac-Klein-Gordon. (Global Cauchy problem for Dirac-Klein-Gordon systems). Zbl 0672.35071
Bachelot, Alain
30
1988
Resonances of a Schwarzschild black hole. (Les résonances d’un trou noir de Schwarzschild.) Zbl 0793.53094
Bachelot, Alain; Motet-Bachelot, Agnès
26
1993
Gravitational scattering of electromagnetic field by Schwarzschild black- hole. Zbl 0743.53037
Bachelot, A.
20
1991
Asymptotic completeness for the Klein-Gordon equation on the Schwarzschild metric. Zbl 0809.35141
Bachelot, Alain
20
1994
The Dirac system on the anti-de Sitter universe. Zbl 1153.83013
Bachelot, Alain
18
2008
The Klein-Gordon equation in the anti-de Sitter cosmology. Zbl 1235.81059
Bachelot, Alain
17
2011
Problème de Cauchy pour des systèmes hyperboliques semi-linéaires. Zbl 0566.35068
Bachelot, Alain
17
1984
Superradiance and scattering of the charged Klein-Gordon field by a step-like electrostatic potential. Zbl 1063.81095
Bachelot, Alain
13
2004
The Hawking effect. Zbl 0919.53034
Bachelot, Alain
12
1999
Creation of fermions at the charged black-hole horizon. Zbl 0977.83045
Bachelot, Alain
11
2000
Scattering of scalar fields by spherical gravitational collapse. Zbl 0872.53066
Bachelot, A.
7
1997
Wave propagation and scattering for the RS2 brane cosmology model. Zbl 1196.83016
Bachelot, Alain
6
2009
Global existence of large amplitude solutions for Dirac-Klein-Gordon systems in Minkowski space. Zbl 0705.35118
Bachelot, Alain
6
1989
Existence des opérateurs d’ondes pour les systèmes hyperboliques avec un potentiel périodique en temps. (Existence of the wave operators for the hyperbolic systems with time periodic potential). Zbl 0657.35102
Bachelot, Alain; Petkov, Vesselin
6
1987
New dynamics in the anti-de Sitter universe \(AdS^5\). Zbl 1269.83023
Bachelot, Alain
6
2013
Global properties of the wave equation on non-globally hyperbolic manifolds. Zbl 1078.58016
Bachelot, Alain
5
2002
Scattering of electromagnetic field by De Sitter-Schwarzschild black hole. Zbl 0823.35162
Bachelot, A.
5
1992
Coupling of finite elements-retarded potentials for the electromagnetic diffraction by a heterogeneous obstacle. (Couplage éléments finis-potentiels retardés pour la diffraction électromagnétique par un obstacle hétérogène.) Zbl 0987.78011
Bachelot, Alain; Bounhoure, Laurent; Pujols, Agnès
5
2001
Existence de l’opérateur de diffusion pour l’équation des ondes avec un potentiel périodique en temps. (Existence of scattering operator for the wave equation with time-periodic potential). Zbl 0611.35067
Bachelot, Alain; Petkov, Vesselin
5
1986
Équipartition de l’énegie pour les systèmes hyperboliques et formes compatibles. (Equipartition of energy for hyperbolic systems and compatible forms). Zbl 0619.35068
Bachelot, Alain
5
1987
Global existence of large amplitude solutions for nonlinear massless Dirac equation. Zbl 0734.35098
Bachelot, Alain
5
1989
Nonlinear Klein Gordon equation on Schwarzschild type metric. (Équation non linéaire de Klein-Gordon dans des métriques de type Schwarzschild.) Zbl 0776.35052
Bachelot, Alain; Nicolas, Jean-Philippe
4
1993
On the Klein-Gordon equation near a de Sitter brane. Zbl 1336.35241
Bachelot, Alain
4
2016
Quantum vacuum polarization at the black-hole horizon. Zbl 0897.53064
Bachelot, Alain
4
1997
Solutions globales des systèmes de Dirac-Klein-Gordon. Zbl 0634.35045
Bachelot, Alain
4
1987
Wave asymptotics at a cosmological time-singularity: classical and quantum scalar fields. Zbl 1419.83058
Bachelot, Alain
3
2019
Problème inverse de diffusion non linéaire. Zbl 0475.35070
Bachelot, Alain
3
1981
Équipartition de l’énergie pour les systèmes hyperboliques et formes compatibles. (Equipartition of energy for hyperbolic systems and compatible forms). Zbl 0601.35067
Bachelot, Alain
3
1985
Waves on accelerating dodecahedral universes. Zbl 1368.83075
Bachelot-Motet, A.; Bachelot, A.
2
2017
The Hawking effect. (L’effet Hawking.) Zbl 0894.35115
Bachelot, Alain
2
1997
Waves in the Witten bubble of nothing and the Hawking wormhole. Zbl 1364.83004
Bachelot, Alain
2
2017
Inverse scattering problem for the nonlinear Klein-Gordon equation. Zbl 0532.35051
Bachelot, A.
2
1983
New boundary conditions on the time-like conformal infinity of the anti-de Sitter universe. Zbl 1243.83014
Bachelot, Alain
2
2012
Opérateur de diffraction pour le système de Maxwell en métrique de Schwarzschild. (Scattering operator for the Maxwell system in the Schwarzschild metric). Zbl 0705.35136
Bachelot, Alain
1
1990
Global solutions to non linear Dirac equations in Minkowski space. Zbl 0713.35091
Bachelot, Alain
1
1989
Time dependent integral method for Maxwell’s system with impedance boundary condition. Zbl 0841.65110
Bachelot, A.; Lange, V.
1
1995
Convergence dans \(L^ p(R^{n+1})\) de la solution de l’équation de Klein-Gordon vers celle de l’équation des ondes. \((L^ p(R^{n+1})\)- convergence of the solution of the Klein-Gordon equation to the solution of the wave equation). Zbl 0645.35066
Bachelot, Alain
1
1986
Problème de Cauchy pour des systèmes hyperboliques semi-linéaires. Zbl 0536.35051
Bachelot, A.
1
1983
Problème de Cauchy pour des systèmes de Klein-Gordon-Schrödinger. Zbl 0538.35016
Bachelot, Alain
1
1983
Existence de l’opérateur de diffusion pour l’équation des ondes avec un potentiel périodique en temps. (Existence of the diffusion operator for the wave equation with a time periodic potential). Zbl 0673.35062
Bachelot, A.; Petkov, V.
1
1988
Resonances of the Schwarzschild metric. (Les pôles de résonance de la métrique de Schwarzschild.) Zbl 0774.53036
Bachelot, Alain; Motet-Bachelot, Agnès
1
1993
Klein paradox and superradiance for the charged Klein-Gordon field. Zbl 1292.81104
Bachelot, Alain
1
2004
On wave propagation in the Anti-de Sitter cosmology. (Sur la propagation des ondes dans la cosmologie d’Anti-de Sitter.) Zbl 1213.35285
Bachelot, Alain
1
2011
Applications bilinéaires compatibles avec un système différentiel à coefficients variables. (Bilinear applications compatible with a differential system with variable coefficients.). Zbl 0561.47040
Bachelot, Alain; Hanouzet, Bernard
1
1984
Wave asymptotics at a cosmological time-singularity: classical and quantum scalar fields. Zbl 1419.83058
Bachelot, Alain
3
2019
Waves on accelerating dodecahedral universes. Zbl 1368.83075
Bachelot-Motet, A.; Bachelot, A.
2
2017
Waves in the Witten bubble of nothing and the Hawking wormhole. Zbl 1364.83004
Bachelot, Alain
2
2017
On the Klein-Gordon equation near a de Sitter brane. Zbl 1336.35241
Bachelot, Alain
4
2016
New dynamics in the anti-de Sitter universe \(AdS^5\). Zbl 1269.83023
Bachelot, Alain
6
2013
New boundary conditions on the time-like conformal infinity of the anti-de Sitter universe. Zbl 1243.83014
Bachelot, Alain
2
2012
The Klein-Gordon equation in the anti-de Sitter cosmology. Zbl 1235.81059
Bachelot, Alain
17
2011
On wave propagation in the Anti-de Sitter cosmology. (Sur la propagation des ondes dans la cosmologie d’Anti-de Sitter.) Zbl 1213.35285
Bachelot, Alain
1
2011
Wave propagation and scattering for the RS2 brane cosmology model. Zbl 1196.83016
Bachelot, Alain
6
2009
The Dirac system on the anti-de Sitter universe. Zbl 1153.83013
Bachelot, Alain
18
2008
Superradiance and scattering of the charged Klein-Gordon field by a step-like electrostatic potential. Zbl 1063.81095
Bachelot, Alain
13
2004
Klein paradox and superradiance for the charged Klein-Gordon field. Zbl 1292.81104
Bachelot, Alain
1
2004
Global properties of the wave equation on non-globally hyperbolic manifolds. Zbl 1078.58016
Bachelot, Alain
5
2002
Coupling of finite elements-retarded potentials for the electromagnetic diffraction by a heterogeneous obstacle. (Couplage éléments finis-potentiels retardés pour la diffraction électromagnétique par un obstacle hétérogène.) Zbl 0987.78011
Bachelot, Alain; Bounhoure, Laurent; Pujols, Agnès
5
2001
Creation of fermions at the charged black-hole horizon. Zbl 0977.83045
Bachelot, Alain
11
2000
The Hawking effect. Zbl 0919.53034
Bachelot, Alain
12
1999
Scattering of scalar fields by spherical gravitational collapse. Zbl 0872.53066
Bachelot, A.
7
1997
Quantum vacuum polarization at the black-hole horizon. Zbl 0897.53064
Bachelot, Alain
4
1997
The Hawking effect. (L’effet Hawking.) Zbl 0894.35115
Bachelot, Alain
2
1997
Time dependent integral method for Maxwell’s system with impedance boundary condition. Zbl 0841.65110
Bachelot, A.; Lange, V.
1
1995
Asymptotic completeness for the Klein-Gordon equation on the Schwarzschild metric. Zbl 0809.35141
Bachelot, Alain
20
1994
Resonances of a Schwarzschild black hole. (Les résonances d’un trou noir de Schwarzschild.) Zbl 0793.53094
Bachelot, Alain; Motet-Bachelot, Agnès
26
1993
Nonlinear Klein Gordon equation on Schwarzschild type metric. (Équation non linéaire de Klein-Gordon dans des métriques de type Schwarzschild.) Zbl 0776.35052
Bachelot, Alain; Nicolas, Jean-Philippe
4
1993
Resonances of the Schwarzschild metric. (Les pôles de résonance de la métrique de Schwarzschild.) Zbl 0774.53036
Bachelot, Alain; Motet-Bachelot, Agnès
1
1993
Scattering of electromagnetic field by De Sitter-Schwarzschild black hole. Zbl 0823.35162
Bachelot, A.
5
1992
Gravitational scattering of electromagnetic field by Schwarzschild black- hole. Zbl 0743.53037
Bachelot, A.
20
1991
Opérateur de diffraction pour le système de Maxwell en métrique de Schwarzschild. (Scattering operator for the Maxwell system in the Schwarzschild metric). Zbl 0705.35136
Bachelot, Alain
1
1990
Global existence of large amplitude solutions for Dirac-Klein-Gordon systems in Minkowski space. Zbl 0705.35118
Bachelot, Alain
6
1989
Global existence of large amplitude solutions for nonlinear massless Dirac equation. Zbl 0734.35098
Bachelot, Alain
5
1989
Global solutions to non linear Dirac equations in Minkowski space. Zbl 0713.35091
Bachelot, Alain
1
1989
Problème de Cauchy global pour des systèmes de Dirac-Klein-Gordon. (Global Cauchy problem for Dirac-Klein-Gordon systems). Zbl 0672.35071
Bachelot, Alain
30
1988
Existence de l’opérateur de diffusion pour l’équation des ondes avec un potentiel périodique en temps. (Existence of the diffusion operator for the wave equation with a time periodic potential). Zbl 0673.35062
Bachelot, A.; Petkov, V.
1
1988
Existence des opérateurs d’ondes pour les systèmes hyperboliques avec un potentiel périodique en temps. (Existence of the wave operators for the hyperbolic systems with time periodic potential). Zbl 0657.35102
Bachelot, Alain; Petkov, Vesselin
6
1987
Équipartition de l’énegie pour les systèmes hyperboliques et formes compatibles. (Equipartition of energy for hyperbolic systems and compatible forms). Zbl 0619.35068
Bachelot, Alain
5
1987
Solutions globales des systèmes de Dirac-Klein-Gordon. Zbl 0634.35045
Bachelot, Alain
4
1987
Existence de l’opérateur de diffusion pour l’équation des ondes avec un potentiel périodique en temps. (Existence of scattering operator for the wave equation with time-periodic potential). Zbl 0611.35067
Bachelot, Alain; Petkov, Vesselin
5
1986
Convergence dans \(L^ p(R^{n+1})\) de la solution de l’équation de Klein-Gordon vers celle de l’équation des ondes. \((L^ p(R^{n+1})\)- convergence of the solution of the Klein-Gordon equation to the solution of the wave equation). Zbl 0645.35066
Bachelot, Alain
1
1986
Équipartition de l’énergie pour les systèmes hyperboliques et formes compatibles. (Equipartition of energy for hyperbolic systems and compatible forms). Zbl 0601.35067
Bachelot, Alain
3
1985
Problème de Cauchy pour des systèmes hyperboliques semi-linéaires. Zbl 0566.35068
Bachelot, Alain
17
1984
Applications bilinéaires compatibles avec un système différentiel à coefficients variables. (Bilinear applications compatible with a differential system with variable coefficients.). Zbl 0561.47040
Bachelot, Alain; Hanouzet, Bernard
1
1984
Inverse scattering problem for the nonlinear Klein-Gordon equation. Zbl 0532.35051
Bachelot, A.
2
1983
Problème de Cauchy pour des systèmes hyperboliques semi-linéaires. Zbl 0536.35051
Bachelot, A.
1
1983
Problème de Cauchy pour des systèmes de Klein-Gordon-Schrödinger. Zbl 0538.35016
Bachelot, Alain
1
1983
Problème inverse de diffusion non linéaire. Zbl 0475.35070
Bachelot, Alain
3
1981
all top 5

Cited by 197 Authors

26 Bachelot, Alain
7 Häfner, Dietrich
7 Nicolas, Jean-Philippe
6 Dafermos, Mihalis
6 Dong, Shijie
6 Holzegel, Gustav
6 Shlapentokh-Rothman, Yakov
5 Georgiev, Vladimir S.
5 Gérard, Christian
5 Rodnianski, Igor
5 Yagdjian, Karen
4 Enciso, Alberto
4 Gannot, Oran
4 Tsutsumi, Yoshio
4 Wrochna, Michał
3 Dappiaggi, Claudio
3 Mokdad, Mokdad
3 Ozawa, Tohru
3 Park, Jong Yeoul
3 Petkov, Vesselin M.
3 Smulevici, Jacques
3 Tsutaya, Kimitoshi
3 Warnick, Claude M.
2 Besset, Nicolas
2 Blue, Pieter
2 D’Ancona, Piero
2 Daudé, Thierry
2 Drago, Nicolò
2 Dyatlov, Semyon
2 Esteban, Maria J.
2 Galstian, Anahit
2 Georgescu, Vladimir
2 Hayashi, Nakao
2 Herr, Sebastian
2 Huh, Hyungjin
2 Iantchenko, Alexei
2 Ikeda, Masahiro
2 Kamran, Niky
2 Katayama, Soichiro
2 Kikuchi, Hiroaki
2 Kim, Jung Ae
2 LeFloch, Philippe Gerard
2 Li, Jiyong
2 Ma, Yue
2 Melnyk, Fabrice
2 Missaoui, Salah
2 Nicoleau, François
2 Ohta, Masahito
2 Sá Barreto, Antônio
2 Sayas, Francisco-Javier
2 Séré, Eric
2 Shao, Arick
2 Stefanov, Plamen D.
2 Vergara, Bruno
2 Wang, Bixiang
2 Weder, Ricardo A.
1 Aimi, Alessandra
1 Alford, Fred
1 Almeida, A. F.
1 Ammari, Zied
1 Andersson, Lars Åke
1 Antoine, Xavier
1 Badia, Ismaïl
1 Ballani, Jonas
1 Banquet Brango, Carlos
1 Baskin, Dean
1 Batic, Davide
1 Bejenaru, Ioan
1 Belgiorno, Francesco D.
1 Bony, Jean-François
1 Bouvier, Patrick
1 Buğdayci, Necmi
1 Cacciatori, Sergio Luigi
1 Candy, Timothy
1 Caudron, Boris
1 Cavalcanti, Marcelo Moreira
1 Chan, John Fun-Choi
1 Chatzikaleas, Athanasios
1 Chechetkin, Valeriĭ Mikhaĭlovich
1 Chen, Guoyuan
1 Covachev, Valéry C.
1 Dereziński, Jan
1 Di Menza, Laurent
1 Diligenti, Mauro
1 Drouot, Alexis
1 Duan, Senhao
1 Dybalski, Wojciech
1 Fajman, David
1 Falconi, Marco
1 Fang, Yung-Fu
1 Faour, H.
1 Fatibene, Lorenzo
1 Ferraris, Marco
1 Ferreira, Hugo R. C.
1 Ferreira, José Arminio
1 Ferreira, Lucas Catão de Freitas
1 Fimin, Nikolaĭ Nikolaevich
1 Fino, Ahmad Z.
1 Foschi, Damiano
1 Francaviglia, Mauro
...and 97 more Authors
all top 5

Cited in 70 Serials

24 Communications in Mathematical Physics
14 Annales Henri Poincaré
11 Annales de l’Institut Henri Poincaré. Physique Théorique
10 Journal of Mathematical Physics
8 Journal of Mathematical Analysis and Applications
8 Journal of Differential Equations
8 Journal de Mathématiques Pures et Appliquées. Neuvième Série
7 Comptes Rendus. Mathématique. Académie des Sciences, Paris
6 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
6 Journal of Hyperbolic Differential Equations
4 Letters in Mathematical Physics
4 Annales de l’Institut Fourier
4 Journal of Functional Analysis
4 Mathematische Zeitschrift
4 Journal of the European Mathematical Society (JEMS)
4 Communications on Pure and Applied Analysis
3 General Relativity and Gravitation
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Classical and Quantum Gravity
2 Mathematical Methods in the Applied Sciences
2 Numerische Mathematik
2 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques
2 Acta Applicandae Mathematicae
2 SIAM Journal on Mathematical Analysis
2 International Journal of Modern Physics D
2 Nonlinear Analysis. Theory, Methods & Applications
1 Computer Methods in Applied Mechanics and Engineering
1 Communications on Pure and Applied Mathematics
1 Journal of Statistical Physics
1 Mathematical Notes
1 Reviews in Mathematical Physics
1 Journal of Geometry and Physics
1 Acta Mathematica
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 BIT
1 Inventiones Mathematicae
1 Mathematische Annalen
1 Mathematics and Computers in Simulation
1 Memoirs of the American Mathematical Society
1 Proceedings of the American Mathematical Society
1 Quarterly of Applied Mathematics
1 Acta Mathematicae Applicatae Sinica. English Series
1 Journal of Scientific Computing
1 The Journal of Geometric Analysis
1 Communications in Partial Differential Equations
1 Bulletin of the American Mathematical Society. New Series
1 SIAM Journal on Scientific Computing
1 Calculus of Variations and Partial Differential Equations
1 Computational and Applied Mathematics
1 NoDEA. Nonlinear Differential Equations and Applications
1 Advances in Computational Mathematics
1 Advances in Differential Equations
1 Abstract and Applied Analysis
1 Mathematical Physics, Analysis and Geometry
1 Annals of Mathematics. Second Series
1 Living Reviews in Relativity
1 Nonlinear Analysis. Real World Applications
1 Journal of Evolution Equations
1 Matematicheskoe Modelirovanie
1 Journal of the Institute of Mathematics of Jussieu
1 Analysis and Applications (Singapore)
1 Boundary Value Problems
1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
1 Advances in Mathematical Physics
1 Journal of Spectral Theory
1 Forum of Mathematics, Sigma
1 Annals of PDE
1 Séminaire Laurent Schwartz. EDP et Applications
1 Pure and Applied Analysis

Citations by Year