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Métivier, Guy

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Author ID: metivier.guy Recent zbMATH articles by "Métivier, Guy"
Published as: Metivier, G.; Metivier, Guy; Métivier, G.; Métivier, Guy
Homepage: https://www.math.u-bordeaux.fr/~gmetivie/
External Links: MGP · Wikidata · ResearchGate · GND
Documents Indexed: 156 Publications since 1973, including 6 Books
all top 5

Serials

13 Séminaire Équations aux Dérivées Partielles
12 Communications in Partial Differential Equations
7 Duke Mathematical Journal
6 Journal of Differential Equations
5 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
4 Archive for Rational Mechanics and Analysis
4 Journal de Mathématiques Pures et Appliquées. Neuvième Série
4 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A
3 American Journal of Mathematics
3 Indiana University Mathematics Journal
3 Inventiones Mathematicae
2 Communications in Mathematical Physics
2 Communications on Pure and Applied Mathematics
2 Annales de l’Institut Fourier
2 Bulletin of the London Mathematical Society
2 Journal of Functional Analysis
2 Memoirs of the American Mathematical Society
2 Transactions of the American Mathematical Society
2 Discrete and Continuous Dynamical Systems
2 Journal de l’École Polytechnique – Mathématiques
1 Nonlinearity
1 Michigan Mathematical Journal
1 Physica D
1 Journal of the American Mathematical Society
1 Differential and Integral Equations
1 SIAM Journal on Mathematical Analysis
1 Comptes Rendus de l’Académie des Sciences. Série I
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Journées Équations aux Dérivées Partielles (Saint-Jean-de-Monts)
1 Advances in Differential Equations
1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings
1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique
1 Annals of Mathematics. Second Series
1 Annales Henri Poincaré
1 Acta Mathematica Scientia. Series B. (English Edition)
1 AMRX. Applied Mathematics Research eXpress
1 Journal of Hyperbolic Differential Equations
1 Bulletin de la Société Mathématique de France. Supplément. Mémoires
1 Astérisque
1 Kinetic and Related Models
1 Analysis & PDE
1 Matapli
1 Kyoto Journal of Mathematics
1 Modeling and Simulation in Science, Engineering and Technology
1 Centro di Ricerca Matematica Ennio De Giorgi (CRM) Series (Nuova Serie)

Publications by Year

Citations contained in zbMATH

114 Publications have been cited 1,352 times in 855 Documents Cited by Year
The incompressible limit of the non-isentropic Euler equations. Zbl 0974.76072
Métivier, G.; Schochet, S.
77
2001
Large viscous boundary layers for noncharacteristic nonlinear hyperbolic problems. Zbl 1074.35066
Métivier, Guy; Zumbrun, Kevin
45
2005
Stability of multidimensional shocks. Zbl 1017.35075
Métivier, Guy
44
2001
Coherent and focusing multidimensional nonlinear geometric optics. Zbl 0836.35087
Joly, J.-L.; Métivier, G.; Rauch, J.
39
1995
The block structure condition for symmetric hyperbolic systems. Zbl 1073.35525
Métivier, Guy
35
2000
Generic rigorous asymptotic expansions for weakly nonlinear multidimensional oscillatory waves. Zbl 0815.35066
Joly, J.-L.; Metivier, G.; Rauch, J.
35
1993
Analytic hypoellipticity for operators with multiple characteristics. Zbl 0455.35040
Metivier, Guy
34
1981
Para-differential calculus and applications to the Cauchy problem for nonlinear systems. Zbl 1156.35002
Métivier, Guy
32
2008
Fonction spectrale et valeurs propres d’une classe d’opérateurs non elliptiques. Zbl 0376.35012
Metivier, Guy
32
1976
Hyperbolic boundary value problems for symmetric systems with variable multiplicities. Zbl 1073.35155
Métivier, Guy; Zumbrun, Kevin
31
2005
Resonant one dimensional nonlinear geometric optics. Zbl 0851.35023
Joly, J.-L.; Métivier, G.; Rauch, J.
30
1993
Valeurs propres d’opérateurs définis par la restriction de systèmes variationnels à des sous-espaces. Zbl 0328.35029
Métivier, Guy
30
1978
Propagation de l’analyticité des solutions de systèmes hyperboliques non-linéaires. Zbl 0545.35063
Alinhac, S.; Métivier, G.
29
1984
Une classe d’opérateurs non hypoelliptiques analytiques. Zbl 0455.35041
Metivier, Guy
28
1980
Paralinearization of the Dirichlet to Neumann operator, and regularity of three-dimensional water waves. Zbl 1207.35082
Alazard, Thomas; Métivier, Guy
27
2009
Existence and stability of multidimensional shock fronts in the vanishing viscosity limit. Zbl 1072.35122
Guès, Olivier; Métivier, Guy; Williams, Mark; Zumbrun, Kevin
27
2005
Interaction de deux chocs pour un système de deux lois de conservation, en dimension deux d’espace. (Interaction of two shock waves for a system with two conservation laws in two dimensional space). Zbl 0619.35075
Métivier, Guy
27
1986
Navier-Stokes regularization of multidimensional Euler shocks. Zbl 1173.35082
Guès, C. M. I. Olivier; Métivier, Guy; Williams, Mark; Zumbrun, Kevin
26
2006
Hypoellipticite analytique sur des groupes nilpotents de rang 2. Zbl 0433.35015
Metivier, Guy
26
1980
Averaging theorems for conservative systems and the weakly compressible Euler equations. Zbl 1029.34035
Métivier, G.; Schochet, S.
25
2003
Existence and stability of noncharacteristic boundary layers for the compressible Navier-Stokes and viscous MHD equations. Zbl 1217.35136
Guès, Olivier; Métivier, Guy; Williams, Mark; Zumbrun, Kevin
24
2010
Recent mathematical results and open problems about shallow water equations. Zbl 1291.35001
Bresch, Didier; Desjardins, Benoît; Métivier, Guy
24
2007
Global solutions to Maxwell equations in a ferromagnetic medium. Zbl 0964.35155
Joly, J. L.; Métivier, G.; Rauch, J.
23
2000
Diffractive nonlinear geometric optics with rectification. Zbl 0928.35093
Joly, Jean-Luc; Metivier, Guy; Rauch, Jeffrey
21
1998
Focusing at a point and absorption of nonlinear oscillations. Zbl 0857.35087
Joly, J. L.; Métivier, G.; Rauch, J.
19
1995
Valeurs propres de problèmes aux limites elliptiques irréguliers. Zbl 0401.35088
Metivier, Guy
19
1977
Existence of weak shocks for multidimenional quasilinear hyperbolic systems. Zbl 0996.35001
Francheteau, Jacques; Métivier, Guy
18
2000
Transparent nonlinear geometric optics and Maxwell-Bloch equations. Zbl 1170.78311
Joly, Jean-Luc; Metivier, Guy; Rauch, Jeffrey
17
2000
Multidimensional viscous shocks. I: Degenerate symmetrizers and long time stability. Zbl 1058.35163
Guès, Olivier; Métivier, Guy; Williams, Mark; Zumbrun, Kevin
16
2005
Coherent nonlinear waves and the Wiener algebra. Zbl 0791.35019
Joly, J.-L.; Métivier, G.; Rauch, J.
16
1994
The Cauchy problem for semilinear hyperbolic systems with discontinuous data. Zbl 0631.35056
Metivier, Guy
16
1986
Propriété des iterés et ellipticite. Zbl 0388.35063
Metivier, Guy
15
1978
Global existence and uniqueness for the lake equations with vanishing topography: elliptic estimates for degenerate equations. Zbl 1099.35094
Bresch, Didier; Métivier, Guy
13
2006
Remarks on the well-posedness of the nonlinear Cauchy problem. Zbl 1071.35074
Métivier, Guy
13
2005
Multidimensional viscous shocks. II: The small viscosity limit. Zbl 1073.35162
Guès, Olivier; Métivier, Guy; Williams, Mark; Zumbrun, Kevin
13
2004
Théorie spectrale des opérateurs uniformement elliptiques sur quelques ouverts irréguliers. Zbl 0251.35074
Fleckinger, Jacqueline; Metivier, Guy
13
1973
Symmetrizers and continuity of stable subspaces for parabolic-hyperbolic boundary value problems. Zbl 1102.35332
Métivier, G.; Zumbrun, K.
12
2004
The Cauchy problem for wave equations with non Lipschitz coefficients; Application to continuation of solutions of some nonlinear wave equations. Zbl 1172.35041
Colombini, Ferruccio; Métivier, Guy
11
2008
Propagation de l’analyticité locale pour les solutions de l’équation d’Euler. (Propagation of local analyticity for the solutions of the Euler equation). Zbl 0606.76027
Alinhac, S.; Métivier, G.
11
1986
Time-dependent loss of derivatives for hyperbolic operators with non regular coefficients. Zbl 1286.35057
Colombini, Ferruccio; Del Santo, Daniele; Fanelli, Francesco; Métivier, Guy
10
2013
Diffractive nonlinear geometric optics. Zbl 0910.35076
Donnat, P.; Joly, J.-L.; Métivier, G.; Rauch, J.
10
1996
A nonlinear instability for \(3\times 3\) systems of conservation laws. Zbl 0820.35093
Joly, J. L.; Metivier, G.; Rauch, J.
10
1994
Stability of multidimensional weak shocks. Zbl 0711.35078
Métivier, Guy
10
1990
Viscous boundary value problems for symmetric systems with variable multiplicities. Zbl 1138.35052
Gues, Olivier; Métivier, Guy; Williams, Mark; Zumbrun, Kevin
9
2008
Small viscosity and boundary layer methods. Theory, stability analysis, and applications. Zbl 1133.35001
Métivier, Guy
9
2004
Ondes soniques. (Sonic waves). Zbl 0728.35068
Métivier, G.
9
1991
Progressing wave solutions to certain nonlinear mixed problems. Zbl 0613.35050
Beals, Michael; Metivier, Guy
9
1986
Estimations de Schauder et régularité Höldérienne pour une classe de problèmes aux limites singuliers. (Schauder estimates and Hölder regularity for a class of singular boundary value problems). Zbl 0608.35026
Bolley, P.; Camus, J.; Metivier, G.
9
1986
Instabilities in Zakharov equations for laser propagation in a plasma. Zbl 1133.35303
Colin, Thierry; Métivier, Guy
8
2006
Propagation, interaction and reflection of discontinuous progressing waves for semilinear hyperbolic systems. Zbl 0687.35021
Metivier, Guy
8
1989
Reflection of transversal progressing waves in nonlinear strictly hyperbolic mixed problems. Zbl 0633.35051
Beals, Michael; Métivier, Guy
8
1987
A well-posedness result for hyperbolic operators with Zygmund coefficients. Zbl 1282.35220
Colombini, Ferruccio; Del Santo, Daniele; Fanelli, Francesco; Métivier, Guy
7
2013
Existence and sharp localization in velocity of small-amplitude Boltzmann shocks. Zbl 1197.76116
Métivier, Guy; Zumbrun, K.
7
2009
Strong oscillations on a linearly degenerate field. Zbl 1091.35039
Cheverry, Christophe; Guès, Olivier; Métivier, Guy
7
2003
Large viscous boundary layers for noncharacteristic nonlinear hyperbolic problems. Zbl 1187.35136
Métivier, Guy; Zumbrun, Kevin
7
2003
Nonlinear hyperbolic smoothing at a focal point. Zbl 0989.35093
Joly, Jean-Luc; Metivier, Guy; Rauch, Jeffrey
7
2000
Trilinear resonant interactions of semilinear hyperbolic waves. Zbl 0955.35007
Métivier, G.; Schochet, S.
7
1998
Global solvability of the anharmonic oscillator model from nonlinear optics. Zbl 0859.35124
Joly, J. L.; Metivier, G.; Rauch, J.
7
1996
Nonlinear oscillations beyond caustics. Zbl 0862.35066
Joly, Jean-Luc; Métivier, Guy; Rauch, Jeffrey
7
1996
Nonlinear high frequency hyperbolic waves. Zbl 0824.35077
Joly, J. L.; Metivier, G.; Rauch, J.
7
1992
Remarques sur l’optique géométrique non linéaire multidimensionnelle. (Remarks on nonlinear multidimensional geometric optics). Zbl 0749.35055
Joly, J. L.; Metivier, G.; Rauch, J.
7
1991
Uniqueness and approximation of solutions of first order nonlinear equations. Zbl 0594.35018
Metivier, Guy
7
1985
Anelastic limits for Euler-type systems. Zbl 1204.35117
Bresch, Didier; Métivier, Guy
6
2010
Nonclassical multidimensional viscous and inviscid shocks. Zbl 1162.35050
Guès, Olivier; Métivier, Guy; Williams, Mark; Zumbrun, Kevin
6
2008
Boundary layer and long time stability for multidimensional viscous shocks. Zbl 1108.35115
Guès, O.; Métivier, G.; Williams, M.; Zumbrun, K.
6
2004
Counterexamples to Hölmgren’s uniqueness for analytic nonlinear Cauchy problems. Zbl 0794.35026
Métivier, G.
6
1993
Kernels and symbols of analytic pseudodifferential operators. Zbl 0535.35081
Baouendi, M. S.; Goulaouic, C.; Métivier, G.
6
1983
Analytic vectors of hypoelliptic operators of principal type. Zbl 0496.35026
Baouendi, M. S.; Metivier, G.
6
1982
Spectral asymptotics for the delta-Neumann problem. Zbl 0489.35064
Metivier, Guy
6
1981
The well-posedness issue in Sobolev spaces for hyperbolic systems with Zygmund-type coefficients. Zbl 1346.35124
Colombini, Ferruccio; Del Santo, Daniele; Fanelli, Francesco; Métivier, Guy
5
2015
\(L^2\) well-posed Cauchy problems and symmetrizability of first order systems. Zbl 1332.35205
Métivier, Guy
5
2014
The mathematics of nonlinear optics. Zbl 1191.35263
Métivier, Guy
5
2009
Existence of semilinear relaxation shocks. Zbl 1180.35358
Métivier, Guy; Zumbrun, Kevin
5
2009
Uniform stability estimates for constant-coefficient symmetric hyperbolic boundary value problems. Zbl 1133.35404
Guès, Olivier; Métivier, Guy; Williams, Mark; Zumbrun, Kevin
5
2007
Hypberbolic domains of determinacy and Hamilton-Jacobi equations. Zbl 1090.35114
Joly, Jean-Luc; Métivier, Guy; Rauch, Jeffrey
5
2005
Caustics for dissipative semilinear oscillations. Zbl 0963.35114
Joly, Jean-Luc; Metivier, Guy; Rauch, Jeffrey
5
2000
Electromagnetic wave propagation in presence of a ferromagnetic material. Zbl 0913.65119
Joly, Jean-Luc; Métivier, Guy; Rauch, Jeffrey
5
1998
Trilinear compensated compactness and nonlinear geometric optics. Zbl 0840.35013
Joly, J. L.; Métivier, G.; Rauch, J.
5
1995
Interaction of piecewise smooth progressing waves for semilinear hyperbolic equations. Zbl 0711.35080
Métivier, Guy; Rauch, Jeffrey
5
1990
Propagation de l’analyticité des solutions d’équations non- linéaires de type principal. Zbl 0566.35017
Alinhac, S.; Metivier, G.
5
1984
Non-hypoellipticite analytique pour D//\(x^ 2\) + (\(x^ 2\) + \(y^ 2)\) D//\(y^ 2\). Zbl 0481.35033
Metivier, Guy
5
1981
The shoreline problem for the one-dimensional shallow water and Green-Naghdi equations. Zbl 1406.35490
Lannes, David; Métivier, Guy
4
2018
Incompressible limit of nonisentropic Euler equations. Zbl 1061.76074
Métivier, Guy; Schochet, Steven
4
2001
Nonlinear geometric optics and Maxwell-Bloch equations. Zbl 1086.35526
Joly, Jean-Luc; Metivier, Guy; Rauch, Jeffrey
4
1999
Recent results in nonlinear geometric optics. Zbl 0938.35034
Métivier, Guy; Joly, Jean-Luc; Rauch, Jeffrey
4
1999
Several recent results in nonlinear geometric optics. Zbl 0854.35115
Joly, Jean-Luc; Métivier, Guy; Rauch, Jeffrey
4
1996
Rigorous resonant 1-d nonlinear geometric optics. Zbl 0718.35094
Joly, J. L.; Métivier, G.; Rauch, J.
4
1990
Problèmes mixtes non linéaires et stabilité des chocs multidimensionnels. (Nonlinear problems and stability of multidimensional shocks). Zbl 0659.35063
Métivier, Guy
4
1987
Counterexamples to the well posedness of the Cauchy problem for hyperbolic systems. Zbl 1316.35172
Colombini, Ferruccio; Métivier, Guy
3
2015
Existence of quasilinear relaxation shock profiles in systems with characteristic velocities. Zbl 1278.34027
Métivier, Guy; Texier, Benjamin; Zumbrun, Kevin
3
2012
Large-amplitude high-frequency waves for quasilinear hyperbolic systems. Zbl 1107.35079
Cheverry, C.; Guès, O.; Métivier, G.
3
2004
The existence of weak shocks for multidimensional quasi-linear hyperbolic systems. Zbl 0918.35092
Francheteau, Jacques; Métivier, Guy
3
1998
Caustics for dissipative semilinear oscillations. Zbl 0891.35098
Joly, Jean-Luc; Métivier, Guy; Rauch, Jeffrey
3
1997
Comportement asymptotique des valeurs propres d’opérateurs elliptiques dégénérées. Zbl 0329.35047
Metivier, Guy
3
1976
Théorie spectrale d’opérateurs elliptiques sur des ouverts irréguliers. Zbl 0264.47040
Metivier, G.
3
1973
Dispersive stabilization. Zbl 1192.35165
Métivier, Guy; Rauch, Jeffrey
2
2010
Problemes de Cauchy et ondes non linéaires. Zbl 0606.35051
Metivier, Guy
2
1986
Une classe d’opérateurs non hypoelliptiques analytiques. Zbl 0419.35022
Metivier, G.
2
1979
Note on strongly hyperbolic systems with involutive characteristics. Zbl 1415.35180
Métivier, Guy; Nishitani, Tatsuo
1
2018
On the \(L^2\) well posedness of hyperbolic initial boundary value problems. Zbl 1437.35461
Métivier, Guy
1
2017
The shoreline problem for the one-dimensional shallow water and Green-Naghdi equations. Zbl 1406.35490
Lannes, David; Métivier, Guy
4
2018
Note on strongly hyperbolic systems with involutive characteristics. Zbl 1415.35180
Métivier, Guy; Nishitani, Tatsuo
1
2018
On the \(L^2\) well posedness of hyperbolic initial boundary value problems. Zbl 1437.35461
Métivier, Guy
1
2017
Strictly dissipative nonuniqueness with corners. Zbl 1377.35193
Métivier, Guy; Rauch, Jeffrey
1
2017
The well-posedness issue in Sobolev spaces for hyperbolic systems with Zygmund-type coefficients. Zbl 1346.35124
Colombini, Ferruccio; Del Santo, Daniele; Fanelli, Francesco; Métivier, Guy
5
2015
Counterexamples to the well posedness of the Cauchy problem for hyperbolic systems. Zbl 1316.35172
Colombini, Ferruccio; Métivier, Guy
3
2015
\(L^2\) well-posed Cauchy problems and symmetrizability of first order systems. Zbl 1332.35205
Métivier, Guy
5
2014
A note on complete hyperbolic operators with log-Zygmund coefficients. Zbl 1320.35179
Colombini, Ferruccio; Del Santo, Daniele; Fanelli, Francesco; Métivier, Guy
1
2014
Viscous boundary layers in hyperbolic-parabolic systems with Neumann boundary conditions. Zbl 1295.35035
Gues, Olivier; Métivier, Guy; Williams, Mark; Zumbrun, Kevin
1
2014
Time-dependent loss of derivatives for hyperbolic operators with non regular coefficients. Zbl 1286.35057
Colombini, Ferruccio; Del Santo, Daniele; Fanelli, Francesco; Métivier, Guy
10
2013
A well-posedness result for hyperbolic operators with Zygmund coefficients. Zbl 1282.35220
Colombini, Ferruccio; Del Santo, Daniele; Fanelli, Francesco; Métivier, Guy
7
2013
Existence of quasilinear relaxation shock profiles in systems with characteristic velocities. Zbl 1278.34027
Métivier, Guy; Texier, Benjamin; Zumbrun, Kevin
3
2012
Existence and stability of noncharacteristic boundary layers for the compressible Navier-Stokes and viscous MHD equations. Zbl 1217.35136
Guès, Olivier; Métivier, Guy; Williams, Mark; Zumbrun, Kevin
24
2010
Anelastic limits for Euler-type systems. Zbl 1204.35117
Bresch, Didier; Métivier, Guy
6
2010
Dispersive stabilization. Zbl 1192.35165
Métivier, Guy; Rauch, Jeffrey
2
2010
Paralinearization of the Dirichlet to Neumann operator, and regularity of three-dimensional water waves. Zbl 1207.35082
Alazard, Thomas; Métivier, Guy
27
2009
Existence and sharp localization in velocity of small-amplitude Boltzmann shocks. Zbl 1197.76116
Métivier, Guy; Zumbrun, K.
7
2009
The mathematics of nonlinear optics. Zbl 1191.35263
Métivier, Guy
5
2009
Existence of semilinear relaxation shocks. Zbl 1180.35358
Métivier, Guy; Zumbrun, Kevin
5
2009
Para-differential calculus and applications to the Cauchy problem for nonlinear systems. Zbl 1156.35002
Métivier, Guy
32
2008
The Cauchy problem for wave equations with non Lipschitz coefficients; Application to continuation of solutions of some nonlinear wave equations. Zbl 1172.35041
Colombini, Ferruccio; Métivier, Guy
11
2008
Viscous boundary value problems for symmetric systems with variable multiplicities. Zbl 1138.35052
Gues, Olivier; Métivier, Guy; Williams, Mark; Zumbrun, Kevin
9
2008
Nonclassical multidimensional viscous and inviscid shocks. Zbl 1162.35050
Guès, Olivier; Métivier, Guy; Williams, Mark; Zumbrun, Kevin
6
2008
Recent mathematical results and open problems about shallow water equations. Zbl 1291.35001
Bresch, Didier; Desjardins, Benoît; Métivier, Guy
24
2007
Uniform stability estimates for constant-coefficient symmetric hyperbolic boundary value problems. Zbl 1133.35404
Guès, Olivier; Métivier, Guy; Williams, Mark; Zumbrun, Kevin
5
2007
Navier-Stokes regularization of multidimensional Euler shocks. Zbl 1173.35082
Guès, C. M. I. Olivier; Métivier, Guy; Williams, Mark; Zumbrun, Kevin
26
2006
Global existence and uniqueness for the lake equations with vanishing topography: elliptic estimates for degenerate equations. Zbl 1099.35094
Bresch, Didier; Métivier, Guy
13
2006
Instabilities in Zakharov equations for laser propagation in a plasma. Zbl 1133.35303
Colin, Thierry; Métivier, Guy
8
2006
Large viscous boundary layers for noncharacteristic nonlinear hyperbolic problems. Zbl 1074.35066
Métivier, Guy; Zumbrun, Kevin
45
2005
Hyperbolic boundary value problems for symmetric systems with variable multiplicities. Zbl 1073.35155
Métivier, Guy; Zumbrun, Kevin
31
2005
Existence and stability of multidimensional shock fronts in the vanishing viscosity limit. Zbl 1072.35122
Guès, Olivier; Métivier, Guy; Williams, Mark; Zumbrun, Kevin
27
2005
Multidimensional viscous shocks. I: Degenerate symmetrizers and long time stability. Zbl 1058.35163
Guès, Olivier; Métivier, Guy; Williams, Mark; Zumbrun, Kevin
16
2005
Remarks on the well-posedness of the nonlinear Cauchy problem. Zbl 1071.35074
Métivier, Guy
13
2005
Hypberbolic domains of determinacy and Hamilton-Jacobi equations. Zbl 1090.35114
Joly, Jean-Luc; Métivier, Guy; Rauch, Jeffrey
5
2005
Multidimensional viscous shocks. II: The small viscosity limit. Zbl 1073.35162
Guès, Olivier; Métivier, Guy; Williams, Mark; Zumbrun, Kevin
13
2004
Symmetrizers and continuity of stable subspaces for parabolic-hyperbolic boundary value problems. Zbl 1102.35332
Métivier, G.; Zumbrun, K.
12
2004
Small viscosity and boundary layer methods. Theory, stability analysis, and applications. Zbl 1133.35001
Métivier, Guy
9
2004
Boundary layer and long time stability for multidimensional viscous shocks. Zbl 1108.35115
Guès, O.; Métivier, G.; Williams, M.; Zumbrun, K.
6
2004
Large-amplitude high-frequency waves for quasilinear hyperbolic systems. Zbl 1107.35079
Cheverry, C.; Guès, O.; Métivier, G.
3
2004
Averaging theorems for conservative systems and the weakly compressible Euler equations. Zbl 1029.34035
Métivier, G.; Schochet, S.
25
2003
Strong oscillations on a linearly degenerate field. Zbl 1091.35039
Cheverry, Christophe; Guès, Olivier; Métivier, Guy
7
2003
Large viscous boundary layers for noncharacteristic nonlinear hyperbolic problems. Zbl 1187.35136
Métivier, Guy; Zumbrun, Kevin
7
2003
The incompressible limit of the non-isentropic Euler equations. Zbl 0974.76072
Métivier, G.; Schochet, S.
77
2001
Stability of multidimensional shocks. Zbl 1017.35075
Métivier, Guy
44
2001
Incompressible limit of nonisentropic Euler equations. Zbl 1061.76074
Métivier, Guy; Schochet, Steven
4
2001
The block structure condition for symmetric hyperbolic systems. Zbl 1073.35525
Métivier, Guy
35
2000
Global solutions to Maxwell equations in a ferromagnetic medium. Zbl 0964.35155
Joly, J. L.; Métivier, G.; Rauch, J.
23
2000
Existence of weak shocks for multidimenional quasilinear hyperbolic systems. Zbl 0996.35001
Francheteau, Jacques; Métivier, Guy
18
2000
Transparent nonlinear geometric optics and Maxwell-Bloch equations. Zbl 1170.78311
Joly, Jean-Luc; Metivier, Guy; Rauch, Jeffrey
17
2000
Nonlinear hyperbolic smoothing at a focal point. Zbl 0989.35093
Joly, Jean-Luc; Metivier, Guy; Rauch, Jeffrey
7
2000
Caustics for dissipative semilinear oscillations. Zbl 0963.35114
Joly, Jean-Luc; Metivier, Guy; Rauch, Jeffrey
5
2000
Nonlinear geometric optics and Maxwell-Bloch equations. Zbl 1086.35526
Joly, Jean-Luc; Metivier, Guy; Rauch, Jeffrey
4
1999
Recent results in nonlinear geometric optics. Zbl 0938.35034
Métivier, Guy; Joly, Jean-Luc; Rauch, Jeffrey
4
1999
Diffractive nonlinear geometric optics with rectification. Zbl 0928.35093
Joly, Jean-Luc; Metivier, Guy; Rauch, Jeffrey
21
1998
Trilinear resonant interactions of semilinear hyperbolic waves. Zbl 0955.35007
Métivier, G.; Schochet, S.
7
1998
Electromagnetic wave propagation in presence of a ferromagnetic material. Zbl 0913.65119
Joly, Jean-Luc; Métivier, Guy; Rauch, Jeffrey
5
1998
The existence of weak shocks for multidimensional quasi-linear hyperbolic systems. Zbl 0918.35092
Francheteau, Jacques; Métivier, Guy
3
1998
Dense oscillations for the compressible 2D Euler equations. Zbl 0952.35102
Joly, J. L.; Metivier, G.; Rauch, J.
1
1998
Caustics for dissipative semilinear oscillations. Zbl 0891.35098
Joly, Jean-Luc; Métivier, Guy; Rauch, Jeffrey
3
1997
Diffractive nonlinear geometric optics. Zbl 0910.35076
Donnat, P.; Joly, J.-L.; Métivier, G.; Rauch, J.
10
1996
Global solvability of the anharmonic oscillator model from nonlinear optics. Zbl 0859.35124
Joly, J. L.; Metivier, G.; Rauch, J.
7
1996
Nonlinear oscillations beyond caustics. Zbl 0862.35066
Joly, Jean-Luc; Métivier, Guy; Rauch, Jeffrey
7
1996
Several recent results in nonlinear geometric optics. Zbl 0854.35115
Joly, Jean-Luc; Métivier, Guy; Rauch, Jeffrey
4
1996
Dense oscillations for the Euler equations. II. Zbl 0920.35112
Joly, J.-L.; Metivier, G.; Rauch, J.
1
1996
Several recent results in nonlinear geometric optics. Zbl 0854.35116
Joly, Jean-Luc; Métivier, Guy; Rauch, Jeffrey
1
1996
Coherent and focusing multidimensional nonlinear geometric optics. Zbl 0836.35087
Joly, J.-L.; Métivier, G.; Rauch, J.
39
1995
Focusing at a point and absorption of nonlinear oscillations. Zbl 0857.35087
Joly, J. L.; Métivier, G.; Rauch, J.
19
1995
Trilinear compensated compactness and nonlinear geometric optics. Zbl 0840.35013
Joly, J. L.; Métivier, G.; Rauch, J.
5
1995
Coherent nonlinear waves and the Wiener algebra. Zbl 0791.35019
Joly, J.-L.; Métivier, G.; Rauch, J.
16
1994
A nonlinear instability for \(3\times 3\) systems of conservation laws. Zbl 0820.35093
Joly, J. L.; Metivier, G.; Rauch, J.
10
1994
Generic rigorous asymptotic expansions for weakly nonlinear multidimensional oscillatory waves. Zbl 0815.35066
Joly, J.-L.; Metivier, G.; Rauch, J.
35
1993
Resonant one dimensional nonlinear geometric optics. Zbl 0851.35023
Joly, J.-L.; Métivier, G.; Rauch, J.
30
1993
Counterexamples to Hölmgren’s uniqueness for analytic nonlinear Cauchy problems. Zbl 0794.35026
Métivier, G.
6
1993
Focusing and absorption of nonlinear oscillations. Zbl 0815.35071
Joly, J. L.; Métivier, G.; Rauch, J.
1
1993
Nonlinear high frequency hyperbolic waves. Zbl 0824.35077
Joly, J. L.; Metivier, G.; Rauch, J.
7
1992
Ondes soniques. (Sonic waves). Zbl 0728.35068
Métivier, G.
9
1991
Remarques sur l’optique géométrique non linéaire multidimensionnelle. (Remarks on nonlinear multidimensional geometric optics). Zbl 0749.35055
Joly, J. L.; Metivier, G.; Rauch, J.
7
1991
Stability of multidimensional weak shocks. Zbl 0711.35078
Métivier, Guy
10
1990
Interaction of piecewise smooth progressing waves for semilinear hyperbolic equations. Zbl 0711.35080
Métivier, Guy; Rauch, Jeffrey
5
1990
Rigorous resonant 1-d nonlinear geometric optics. Zbl 0718.35094
Joly, J. L.; Métivier, G.; Rauch, J.
4
1990
Propagation, interaction and reflection of discontinuous progressing waves for semilinear hyperbolic systems. Zbl 0687.35021
Metivier, Guy
8
1989
The interaction of two progressing waves. Zbl 0697.35093
Métivier, Guy; Rauch, Jeffrey
1
1989
Reflection of transversal progressing waves in nonlinear strictly hyperbolic mixed problems. Zbl 0633.35051
Beals, Michael; Métivier, Guy
8
1987
Problèmes mixtes non linéaires et stabilité des chocs multidimensionnels. (Nonlinear problems and stability of multidimensional shocks). Zbl 0659.35063
Métivier, Guy
4
1987
Interaction de deux chocs pour un système de deux lois de conservation, en dimension deux d’espace. (Interaction of two shock waves for a system with two conservation laws in two dimensional space). Zbl 0619.35075
Métivier, Guy
27
1986
The Cauchy problem for semilinear hyperbolic systems with discontinuous data. Zbl 0631.35056
Metivier, Guy
16
1986
Propagation de l’analyticité locale pour les solutions de l’équation d’Euler. (Propagation of local analyticity for the solutions of the Euler equation). Zbl 0606.76027
Alinhac, S.; Métivier, G.
11
1986
Progressing wave solutions to certain nonlinear mixed problems. Zbl 0613.35050
Beals, Michael; Metivier, Guy
9
1986
Estimations de Schauder et régularité Höldérienne pour une classe de problèmes aux limites singuliers. (Schauder estimates and Hölder regularity for a class of singular boundary value problems). Zbl 0608.35026
Bolley, P.; Camus, J.; Metivier, G.
9
1986
Problemes de Cauchy et ondes non linéaires. Zbl 0606.35051
Metivier, Guy
2
1986
Uniqueness and approximation of solutions of first order nonlinear equations. Zbl 0594.35018
Metivier, Guy
7
1985
Propagation de l’analyticité des solutions de systèmes hyperboliques non-linéaires. Zbl 0545.35063
Alinhac, S.; Métivier, G.
29
1984
Propagation de l’analyticité des solutions d’équations non- linéaires de type principal. Zbl 0566.35017
Alinhac, S.; Metivier, G.
5
1984
Kernels and symbols of analytic pseudodifferential operators. Zbl 0535.35081
Baouendi, M. S.; Goulaouic, C.; Métivier, G.
6
1983
Estimation du reste en théorie spectrale. Zbl 0558.35050
Metivier, Guy
1
1983
Estimation du reste en théorie spectrale. Zbl 0542.35055
Métivier, Guy
1
1983
Analytic vectors of hypoelliptic operators of principal type. Zbl 0496.35026
Baouendi, M. S.; Metivier, G.
6
1982
Non hypoellipticite analytique pour des opérateurs à caractéristiques doubles. Zbl 0489.35033
Metivier, G.
1
1982
Analytic hypoellipticity for operators with multiple characteristics. Zbl 0455.35040
Metivier, Guy
34
1981
Spectral asymptotics for the delta-Neumann problem. Zbl 0489.35064
Metivier, Guy
6
1981
...and 14 more Documents
all top 5

Cited by 817 Authors

47 Zumbrun, Kevin R.
39 Métivier, Guy
26 Rauch, Jeffrey B.
21 Wang, Ya-Guang
16 Williams, Mark
15 Guès, Olivier
14 Alazard, Thomas
14 Cheverry, Christophe
13 Himonas, A. Alexandrou
12 Trakhinin, Yuri L.
11 Carles, Rémi
11 Chen, Shuxing
11 Tartakoff, David S.
10 Chen, Hua
10 Coulombel, Jean-François
9 Bove, Antonio
9 Chen, Gui-Qiang G.
9 Colin, Thierry
9 Derridj, Makhlouf
9 Fanelli, Francesco
9 Lannes, David
9 Li, Dening
9 Petronilho, Gerson
8 Temam, Roger Meyer
7 Fan, Jishan
7 Freistühler, Heinrich
7 Joly, Jean-Luc
7 Li, Fucai
7 Schochet, Steven H.
7 Texier, Benjamin
7 Yin, Huicheng
6 Bresch, Didier
6 Cordaro, Paulo D.
6 Del Santo, Daniele
6 Hanges, Nicholas
6 Humpherys, Jeffrey
6 Lapidus, Michel L.
6 Morando, Alessandro
6 Nguyen, Toan Trong
6 Rothschild, Linda Preiss
6 Rousset, Frédéric
6 Sueur, Franck
6 Trebeschi, Paola
6 Xin, Zhouping
5 Barker, Blake
5 Benzoni-Gavage, Sylvie
5 Christ, Michael
5 Colombini, Ferruccio
5 Gallagher, Isabelle
5 Godin, Paul
5 Helffer, Bernard
5 Jiang, Song
5 Junca, Stéphane
5 Li, Jingna
5 Lyng, Gregory Daniel
5 Masmoudi, Nader
5 Nakamura, Gen
5 Nguyen, Huy Quang
5 Ou, Yaobin
5 Wang, Dehua
5 Wang, Tao
5 Williams, Mark L.
5 Xie, Chunjing
5 Zhang, Ping
5 Zhang, Zhifei
4 Alinhac, Serge
4 Audiard, Corentin
4 Baldi, Pietro
4 Burq, Nicolas
4 Cimrák, Ivan
4 Desjardins, Benoît
4 Duchêne, Vincent
4 Dumas, Éric
4 Feireisl, Eduard
4 Fleckinger, Jacqueline
4 Fornet, Bruno
4 Gallice, Gérard
4 Grenier, Emmanuel
4 Guerra, Graziano
4 Ju, Qiangchang
4 Lafitte, Olivier D.
4 Mughetti, Marco
4 Nkonga, Boniface
4 Paicu, Marius
4 Pausader, Benoît
4 Secchi, Paolo
4 Slodička, Marián
4 Trélat, Emmanuel
4 Xiang, Wei
4 Zhang, Shuyi
4 Zhu, Shengguo
4 Zuily, Claude
3 Albano, Paolo
3 Basalaev, S. G.
3 Benoit, Antoine
3 Boiti, Chiara
3 Castella, François
3 Castro, Ángel
3 Chen, Hongge
3 Chen, Robin Ming
...and 717 more Authors
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Cited in 182 Serials

81 Journal of Differential Equations
63 Communications in Partial Differential Equations
57 Archive for Rational Mechanics and Analysis
22 Transactions of the American Mathematical Society
21 Journal of Functional Analysis
19 Duke Mathematical Journal
19 Journal de Mathématiques Pures et Appliquées. Neuvième Série
17 Communications in Mathematical Physics
17 Journal of Mathematical Analysis and Applications
17 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
17 Physica D
16 Proceedings of the American Mathematical Society
16 SIAM Journal on Mathematical Analysis
16 Journal of Hyperbolic Differential Equations
15 Annales de l’Institut Fourier
14 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
12 Advances in Mathematics
11 Quarterly of Applied Mathematics
10 Journal of Mathematical Physics
10 Journal of Mathematical Fluid Mechanics
9 Communications on Pure and Applied Mathematics
9 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
8 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
8 Mathematische Annalen
8 Kinetic and Related Models
7 Journal of Computational Physics
7 Calculus of Variations and Partial Differential Equations
7 Discrete and Continuous Dynamical Systems
7 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
6 ZAMP. Zeitschrift für angewandte Mathematik und Physik
6 Annali di Matematica Pura ed Applicata. Serie Quarta
6 Applied Mathematics Letters
6 Communications on Pure and Applied Analysis
6 Science China. Mathematics
5 Mathematical Methods in the Applied Sciences
5 Nonlinearity
5 Inventiones Mathematicae
5 Journal of Computational and Applied Mathematics
5 Mathematische Zeitschrift
5 Memoirs of the American Mathematical Society
5 Zeitschrift für Analysis und ihre Anwendungen
5 Communications in Contemporary Mathematics
5 Comptes Rendus. Mathématique. Académie des Sciences, Paris
5 Nonlinear Analysis. Theory, Methods & Applications
5 Séminaire Laurent Schwartz. EDP et Applications
4 Proceedings of the Japan Academy. Series A
4 Chinese Annals of Mathematics. Series B
4 Acta Mathematica Sinica. New Series
4 Abstract and Applied Analysis
4 Wuhan University Journal of Natural Sciences (WUJNS)
3 Computers & Mathematics with Applications
3 Journal d’Analyse Mathématique
3 Mathematics of Computation
3 Monatshefte für Mathematik
3 Publications of the Research Institute for Mathematical Sciences, Kyoto University
3 Siberian Mathematical Journal
3 Applied Numerical Mathematics
3 RAIRO. Modélisation Mathématique et Analyse Numérique
3 Journal of the American Mathematical Society
3 Asymptotic Analysis
3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
3 Nonlinear Analysis. Real World Applications
3 Discrete and Continuous Dynamical Systems. Series B
3 Journal of the Institute of Mathematics of Jussieu
3 Annals of PDE
2 Computers and Fluids
2 Israel Journal of Mathematics
2 Arkiv för Matematik
2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
2 Applied Mathematics and Computation
2 Bulletin de la Société Mathématique de France
2 Journal of the Mathematical Society of Japan
2 Journal of Soviet Mathematics
2 Mathematische Nachrichten
2 Numerische Mathematik
2 Osaka Journal of Mathematics
2 Rendiconti del Seminario Matematico della Università di Padova
2 Acta Applicandae Mathematicae
2 Revista Matemática Iberoamericana
2 Science in China. Series A
2 Stochastic Processes and their Applications
2 Bulletin of the American Mathematical Society. New Series
2 Mémoires de la Société Mathématique de France. Nouvelle Série
2 Journal of Nonlinear Science
2 Journal of Mathematical Sciences (New York)
2 NoDEA. Nonlinear Differential Equations and Applications
2 Integral Transforms and Special Functions
2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
2 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
2 Journal of Dynamical and Control Systems
2 Annales Henri Poincaré
2 Journal of Evolution Equations
2 Bulletin of the Brazilian Mathematical Society. New Series
2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
2 Analysis and Applications (Singapore)
2 Discrete and Continuous Dynamical Systems. Series S
2 International Journal of Differential Equations
2 Journal of Pseudo-Differential Operators and Applications
2 Kyoto Journal of Mathematics
...and 82 more Serials
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Cited in 43 Fields

764 Partial differential equations (35-XX)
328 Fluid mechanics (76-XX)
65 Optics, electromagnetic theory (78-XX)
40 Global analysis, analysis on manifolds (58-XX)
37 Numerical analysis (65-XX)
34 Statistical mechanics, structure of matter (82-XX)
29 Operator theory (47-XX)
23 Mechanics of deformable solids (74-XX)
20 Topological groups, Lie groups (22-XX)
19 Dynamical systems and ergodic theory (37-XX)
19 Differential geometry (53-XX)
18 Ordinary differential equations (34-XX)
17 Several complex variables and analytic spaces (32-XX)
16 Quantum theory (81-XX)
15 Functional analysis (46-XX)
13 Geophysics (86-XX)
12 Harmonic analysis on Euclidean spaces (42-XX)
12 Classical thermodynamics, heat transfer (80-XX)
10 Abstract harmonic analysis (43-XX)
10 Calculus of variations and optimal control; optimization (49-XX)
8 Real functions (26-XX)
8 Probability theory and stochastic processes (60-XX)
8 Systems theory; control (93-XX)
6 Relativity and gravitational theory (83-XX)
5 Nonassociative rings and algebras (17-XX)
4 Measure and integration (28-XX)
4 Functions of a complex variable (30-XX)
3 Number theory (11-XX)
3 Mechanics of particles and systems (70-XX)
3 Astronomy and astrophysics (85-XX)
3 Biology and other natural sciences (92-XX)
2 Manifolds and cell complexes (57-XX)
1 General and overarching topics; collections (00-XX)
1 Algebraic geometry (14-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Associative rings and algebras (16-XX)
1 Potential theory (31-XX)
1 Difference and functional equations (39-XX)
1 Approximations and expansions (41-XX)
1 Integral transforms, operational calculus (44-XX)
1 Integral equations (45-XX)
1 Computer science (68-XX)
1 Operations research, mathematical programming (90-XX)

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