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Author ID: rauch.jeffrey-b Recent zbMATH articles by "Rauch, Jeffrey B."
Published as: Rauch, Jeffrey; Rauch, J.; Rauch, J. B.; Rauch, Jeffrey B.
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Serials

10 Séminaire Équations aux Dérivées Partielles
7 Archive for Rational Mechanics and Analysis
7 Journal of Functional Analysis
7 Communications in Partial Differential Equations
6 Communications on Pure and Applied Mathematics
6 Indiana University Mathematics Journal
6 Journal of Differential Equations
6 Proceedings of the American Mathematical Society
6 Transactions of the American Mathematical Society
5 Communications in Mathematical Physics
5 Asymptotic Analysis
5 Séminaire Laurent Schwartz. EDP et Applications
4 Journal de Mathématiques Pures et Appliquées. Neuvième Série
4 SIAM Journal on Mathematical Analysis
3 Methods and Applications of Analysis
3 Annals of Mathematics. Second Series
3 Journal of Hyperbolic Differential Equations
3 The IMA Volumes in Mathematics and its Applications
2 Journal of Computational Physics
2 Annales de l’Institut Fourier
2 Duke Mathematical Journal
2 Numerische Mathematik
2 Discrete and Continuous Dynamical Systems
2 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique
1 American Mathematical Monthly
1 Houston Journal of Mathematics
1 IMA Journal of Numerical Analysis
1 Journal of Mathematical Analysis and Applications
1 Journal of Mathematical Physics
1 Letters in Mathematical Physics
1 Physics Letters. A
1 Rocky Mountain Journal of Mathematics
1 Mathematics of Computation
1 Reviews in Mathematical Physics
1 Advances in Mathematics
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Bulletin of the London Mathematical Society
1 Bulletin de la Société Royale des Sciences de Liège
1 Inventiones Mathematicae
1 Journal of Differential Geometry
1 Journal für die Reine und Angewandte Mathematik
1 Memoirs of the American Mathematical Society
1 Michigan Mathematical Journal
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 SIAM Journal on Control and Optimization
1 SIAM Journal on Numerical Analysis
1 Tôhoku Mathematical Journal. Second Series
1 Revista Matemática Iberoamericana
1 Differential and Integral Equations
1 SIAM Journal on Applied Mathematics
1 Bulletin of the American Mathematical Society. New Series
1 Comptes Rendus de l’Académie des Sciences. Série I
1 Annales de l’Institut Henri Poincaré. Physique Théorique
1 SIAM Journal on Scientific Computing
1 Journées Équations aux Dérivées Partielles (Saint-Jean-de-Monts)
1 Serdica Mathematical Journal
1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings
1 Communications in Contemporary Mathematics
1 Annales Henri Poincaré
1 Portugaliae Mathematica. Nova Série
1 Acta Mathematica Scientia. Series B. (English Edition)
1 Communications in Mathematical Sciences
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
1 Bulletin of the American Mathematical Society
1 Bulletin of the Institute of Mathematics. Academia Sinica. New Series
1 Graduate Studies in Mathematics
1 Graduate Texts in Mathematics
1 Communications in Mathematical Analysis
1 Confluentes Mathematici
1 Journal of Pseudo-Differential Operators and Applications
1 Nonlinear Analysis. Theory, Methods & Applications
1 Le Sel et le Fer

Publications by Year

Citations contained in zbMATH Open

154 Publications have been cited 2,704 times in 2,063 Documents Cited by Year
Sharp sufficient conditions for the observation, control, and stabilization of waves from the boundary. Zbl 0786.93009
Bardos, Claude; Lebeau, Gilles; Rauch, Jeffrey
577
1992
Potential and scattering theory on wildly perturbed domains. Zbl 0293.35056
Rauch, Jeffrey; Taylor, Michael
139
1975
Exponential decay of solutions to hyperbolic equations in bounded domains. Zbl 0281.35012
Rauch, Jeffrey; Taylor, Michael
118
1974
Differentiability of solutions to hyperbolic initial-boundary value problems. Zbl 0282.35014
Rauch, Jeffrey B.; Massey, Frank J. III
94
1974
Symmetric positive systems with boundary characteristic of constant multiplicity. Zbl 0549.35099
Rauch, Jeffrey
75
1985
Partial differential equations. Zbl 0742.35001
Rauch, Jeffrey
66
1991
Local decay of scattering solutions to Schrödinger’s equation. Zbl 0381.35023
Rauch, Jeffrey
64
1978
Discontinuous semilinear differential equations and multiple valued maps. Zbl 0413.35031
Rauch, Jeffrey
56
1977
\({\mathcal L}_ 2\) is a continuable initial condition for Kreiss’ mixed problems. Zbl 0226.35056
Rauch, Jeffrey
53
1972
Hyperbolic partial differential equations and geometric optics. Zbl 1252.35004
Rauch, Jeffrey
53
2012
The Dirichlet problem for the multidimensional Monge-Ampère equation. Zbl 0367.35025
Rauch, Jeffrey; Taylor, B. A.
51
1977
Qualitative theory of the Fitz Hugh-Nagumo equations. Zbl 0379.92002
Rauch, Jeffrey; Smoller, Joel
50
1978
Decay of solutions tonondissipative hyperbolic systems on compact manifolds. Zbl 0295.35048
Rauch, J.; Taylor, Michael
48
1975
Polynomial decay for a hyperbolic-parabolic coupled system. Zbl 1077.35030
Rauch, Jeffrey; Zhang, Xu; Zuazua, Enrique
45
2005
Nonlinear microlocal analysis of semilinear hyperbolic systems in one space dimension. Zbl 0503.35055
Rauch, Jeffrey; Reed, Michael
45
1982
Coherent and focusing multidimensional nonlinear geometric optics. Zbl 0836.35087
Joly, J.-L.; Métivier, G.; Rauch, J.
42
1995
Generic rigorous asymptotic expansions for weakly nonlinear multidimensional oscillatory waves. Zbl 0815.35066
Joly, J.-L.; Metivier, G.; Rauch, J.
39
1993
Perturbation theory for eigenvalues and resonances of Schrödinger hamiltonians. Zbl 0432.35013
Rauch, Jeffrey
35
1980
Absorbing boundary conditions for diffusion equations. Zbl 0838.65117
Halpern, L.; Rauch, J.
31
1995
Resonant one dimensional nonlinear geometric optics. Zbl 0851.35023
Joly, J.-L.; Métivier, G.; Rauch, J.
30
1993
Jump discontinuities of semilinear, strictly hyperbolic systems in two variables: creation and propagation. Zbl 0468.35064
Rauch, Jeffrey; Reed, Michael
29
1981
Strongly nonlinear perturbations of nonnegative boundary value problems with kernel. Zbl 0405.34019
McKenna, P. J.; Rauch, J.
27
1978
Singularities of solutions to semilinear wave equations. Zbl 0388.35045
Rauch, Jeffrey
26
1979
Un example d’utilisation des notions de propagation pour le contrôle et la stabilisation de problèmes hyperboliques. (An example on the utilisation of notions of propagation for the control and stabilization of hyperbolic problems). Zbl 0673.93037
Bardos, C.; Lebeau, G.; Rauch, J.
25
1988
Propagation of singularities for semilinear hyperbolic equations in one space variable. Zbl 0432.35055
Rauch, Jeffrey; Reed, Michael C.
24
1980
BV estimates fail for most quasilinear hyperbolic systems in dimensions greater than one. Zbl 0619.35073
Rauch, Jeffrey
24
1986
Global solutions to Maxwell equations in a ferromagnetic medium. Zbl 0964.35155
Joly, J. L.; Métivier, G.; Rauch, J.
23
2000
Singularities produced by the nonlinear interaction of three progressing waves; examples. Zbl 0502.35060
Rauch, Jeffrey; Reed, Michael C.
23
1982
Nonlinear superposition and absorption of delta waves in one space dimension. Zbl 0661.35058
Rauch, Jeffrey; Reed, Michael C.
22
1987
Diffractive nonlinear geometric optics with rectification. Zbl 0928.35093
Joly, Jean-Luc; Metivier, Guy; Rauch, Jeffrey
22
1998
Maximal positive boundary value problems as limits of singular perturbation problems. Zbl 0485.35010
Bardos, Claude; Rauch, Jeffrey
21
1982
Stability of transonic shock solutions for one-dimensional Euler-Poisson equations. Zbl 1261.76055
Luo, Tao; Rauch, Jeffrey; Xie, Chunjing; Xin, Zhouping
20
2011
Focusing at a point and absorption of nonlinear oscillations. Zbl 0857.35087
Joly, J. L.; Métivier, G.; Rauch, J.
19
1995
Penetrations into shadow regions and unique continuation properties in hyperbolic mixed problems. Zbl 0227.35064
Rauch, Jeffrey; Taylor, Michael
19
1972
Scattering frequencies and Gevrey 3 singularities. Zbl 0723.35058
Bardos, C.; Lebeau, G.; Rauch, J.
19
1987
Coherent nonlinear waves and the Wiener algebra. Zbl 0791.35019
Joly, J.-L.; Métivier, G.; Rauch, J.
17
1994
Transparent nonlinear geometric optics and Maxwell-Bloch equations. Zbl 1170.78311
Joly, Jean-Luc; Metivier, Guy; Rauch, Jeffrey
17
2000
On convergence of the finite element method for the wave equation. Zbl 0575.65091
Rauch, Jeffrey
17
1985
The analysis of matched layers. Zbl 1263.65088
Halpern, L.; Petit-Bergez, S.; Rauch, J.
17
2011
Error analysis for absorbing boundary conditions. Zbl 0656.35076
Halpern, Laurence; Rauch, Jeffrey
16
1987
Qualitative behavior of dissipative wave equations on bounded domains. Zbl 0335.35062
Rauch, Jeffrey
16
1976
Striated solutions of semilinear, two speed wave equations. Zbl 0559.35053
Rauch, Jeffrey; Reed, Michael
15
1985
Diffractive geometric optics for Bloch wave packets. Zbl 1269.78004
Allaire, Grégoire; Palombaro, Mariapia; Rauch, Jeffrey
15
2011
Diffractive nonlinear geometric optics for short pulses. Zbl 1036.35049
Alterman, Deborah; Rauch, Jeffrey
14
2003
Justification of multidimensional single phase semilinear geometric optics. Zbl 0771.35010
Joly, Jean-Luc; Rauch, Jeffrey
14
1992
Dispersive nonlinear geometric optics. Zbl 0881.35078
Donnat, Phillipe; Rauch, Jeffrey
13
1997
Discontinuous progressing waves for semilinear systems. Zbl 0598.35069
Rauch, Jeffrey; Reed, Michael C.
13
1985
Uniqueness and nonuniqueness for nonsmooth divergence free transport. Zbl 1065.35089
Colombini, F.; Luo, T.; Rauch, J.
12
2003
Diffractive behavior of the wave equation in periodic media: weak convergence analysis. Zbl 1200.35019
Allaire, Grégoire; Palombaro, Mariapia; Rauch, Jeffrey
12
2009
Diffractive short pulse asymptotics for nonlinear wave equations. Zbl 0947.35033
Alterman, Deborah; Rauch, Jeffrey
11
2000
A note on two-dimensional transport with bounded divergence. Zbl 1122.35143
Colombini, Ferruccio; Crippa, Gianluca; Rauch, Jeffrey
11
2006
A nonlinear instability for \(3\times 3\) systems of conservation laws. Zbl 0820.35093
Joly, J. L.; Metivier, G.; Rauch, J.
10
1994
Variational algorithms for the Helmholtz equation using time evolution and artificial boundaries. Zbl 0818.65100
Bardos, Claude; Rauch, Jeffrey
10
1994
Asymptotic behavior of solutions to hyperbolic partial differential equations with zero speeds. Zbl 0368.35043
Rauch, Jeffrey
10
1978
Diffractive nonlinear geometric optics. Zbl 0910.35076
Donnat, P.; Joly, J.-L.; Métivier, G.; Rauch, J.
10
1996
A model for harmonics on stringed instruments. Zbl 0534.47027
Bamberger, A.; Rauch, J.; Taylor, M.
10
1982
Nearly Lipschitzean divergence free transport propagates neither continuity nor BV regularity. Zbl 1088.35015
Colombini, Ferruccio; Luo, Tao; Rauch, Jeffrey
10
2004
Nonlinear geometric optics for short pulses. Zbl 1006.35015
Alterman, Deborah; Rauch, Jeffrey
10
2002
Stabilisation de l’équation des ondes au moyen d’un feedback portant sur la condition aux limites de Dirichlet. (Stabilization of the wave equation by Dirichlet type boundary feedback). Zbl 0764.35055
Bardos, Claude; Halpern, Laurence; Lebeau, Gilles; Rauch, Jeffrey; Zuazua, Enrique
9
1991
Lectures on geometric optics. Zbl 0926.35003
Rauch, Jeffrey; Keel, Markus
9
1999
Boundary value problems with nonuniformly characteristic boundary. Zbl 0832.35026
Rauch, J.
8
1994
Global solvability of the Maxwell-Bloch equations from nonlinear optics. Zbl 0873.35093
Donnat, P.; Rauch, J.
8
1996
Uniqueness in the Cauchy problem for transport in \(\mathbb R^2\) and \(\mathbb R^{1+2}\). Zbl 1134.35311
Colombini, Ferruccio; Rauch, Jeffrey
8
2005
Regularity of functions smooth along foliations, and elliptic regularity. Zbl 1073.35077
Rauch, Jeffrey; Taylor, Michael
8
2005
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.
8
1987
Contrôllabilité exacte, homogénéisation et localisation d’ondes dans un milieu non-homogène. (Exact controllability, homogenization and localization of waves in a non-homogeneous medium). Zbl 0763.93006
Avellaneda, Marco; Bardos, Claude; Rauch, Jeffrey
8
1992
Decaying states of perturbed wave equations. Zbl 0324.35073
Rauch, Jeffrey; Taylor, Michael
8
1976
Spectral problems for non-elliptic symmetric systems with dissipative boundary conditions. Zbl 1296.35104
Colombini, Ferruccio; Petkov, Vesselin; Rauch, Jeffrey
8
2014
Nonlinear high frequency hyperbolic waves. Zbl 0824.35077
Joly, J. L.; Metivier, G.; Rauch, J.
7
1992
Nonlinear oscillations beyond caustics. Zbl 0862.35066
Joly, Jean-Luc; Métivier, Guy; Rauch, Jeffrey
7
1996
Global solvability of the anharmonic oscillator model from nonlinear optics. Zbl 0859.35124
Joly, J. L.; Metivier, G.; Rauch, J.
7
1996
Nonlinear hyperbolic smoothing at a focal point. Zbl 0989.35093
Joly, Jean-Luc; Metivier, Guy; Rauch, Jeffrey
7
2000
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
Global solvability of the Casimir operator. Zbl 0323.58021
Rauch, Jeffrey; Wigner, David
7
1976
Smooth localized parametric resonance for wave equations. Zbl 1158.35012
Colombini, Ferruccio; Rauch, Jeffrey
6
2008
Caustics for dissipative semilinear oscillations. Zbl 0963.35114
Joly, Jean-Luc; Metivier, Guy; Rauch, Jeffrey
6
2000
Trilinear compensated compactness and nonlinear geometric optics. Zbl 0840.35013
Joly, J. L.; Métivier, G.; Rauch, J.
6
1995
Nonlinear resonance can create dense oscillations. Zbl 0794.35098
Joly, Jean-Luc; Rauch, Jeffrey
6
1991
Precise finite speed with bare hands. Zbl 1123.35334
Rauch, Jeffrey
6
2005
Measure valued solutions of asymptotically homogeneous semilinear hyperbolic systems in one space variable. Zbl 0691.35007
Demengel, F.; Rauch, J.
6
1990
Hyperbolic boundary value problems with trihedral corners. Zbl 1336.35217
Halpern, Laurence; Rauch, Jeffrey
5
2016
Validity of nonlinear geometric optics with times growing logarithmically. Zbl 0980.35093
Lannes, David; Rauch, Jeffrey
5
2001
Illumination of bounded domains. Zbl 0399.52006
Rauch, Jeffrey
5
1978
Classical conormal solutions of semilinear systems. Zbl 0665.35046
Rauch, Jeffrey; Reed, Michael
5
1988
Hypberbolic domains of determinacy and Hamilton-Jacobi equations. Zbl 1090.35114
Joly, Jean-Luc; Métivier, Guy; Rauch, Jeffrey
5
2005
Electromagnetic wave propagation in presence of a ferromagnetic material. (Propagation des ondes électromagnétiques en présence d’un matériau ferromagnétique.) Zbl 0913.65119
Joly, Jean-Luc; Métivier, Guy; Rauch, Jeffrey
5
1998
Water wave propagation in unbounded domains. II: Numerical methods for fractional PDEs. Zbl 1349.76343
Jennings, G. I.; Prigge, D.; Carney, S.; Karni, S.; Rauch, J. B.; Abgrall, R.
5
2014
Interaction of piecewise smooth progressing waves for semilinear hyperbolic equations. Zbl 0711.35080
Métivier, Guy; Rauch, Jeffrey
5
1990
Microlocal ideas in control and stabilization. Zbl 0676.93040
Bardos, Claude; Lebeau, Gilles; Rauch, Jeffrey
5
1989
Boundary value problems as limits of problems in all space. Zbl 0435.35052
Rauch, J.
4
1979
An inclusion theorem for ovaloids with comparable second fundamental forms. Zbl 0288.53007
Rauch, Jeffrey
4
1974
Nonlinear geometric optics and Maxwell-Bloch equations. (Optique géométrique non linéaire et équations de Maxwell-Bloch.) Zbl 1086.35526
Joly, Jean-Luc; Metivier, Guy; Rauch, Jeffrey
4
1999
Classical, conormal, semilinear waves. Zbl 0615.35053
Rauch, J.; Reed, M.
4
1986
Incoming and disappearing solutions for Maxwell’s equations. Zbl 1217.35180
Colombini, Ferruccio; Petkov, Vesselin; Rauch, Jeffrey
4
2011
Eigenvalues for Maxwell’s equations with dissipative boundary conditions. Zbl 1348.35257
Colombini, Ferruccio; Petkov, Vesselin; Rauch, Jeffrey
4
2016
Water wave propagation in unbounded domains. part I: nonreflecting boundaries. Zbl 1349.76031
Jennings, G. I.; Karni, S.; Rauch, J. B.
4
2014
Convergence along mean flows. Zbl 1366.35094
Holding, Thomas; Hutridurga, Harsha; Rauch, Jeffrey
4
2017
Bounded, stratified and striated solutions of hyperbolic systems. Zbl 0695.35124
Rauch, J.; Reed, M.
4
1988
High frequency semilinear oscillations. Zbl 0703.35103
Joly, J. L.; Rauch, J.
4
1987
Weak convergence of asymptotically homogeneous functions of measures. Zbl 0709.46011
Demengel, Françoise; Rauch, Jeffrey
4
1990
Crime pays; homogenized wave equations for long times. Zbl 07527328
Allaire, Grégoire; Lamacz-Keymling, Agnes; Rauch, Jeffrey
1
2022
The electrostatic potential of periodic crystals. Zbl 1470.40010
Rauch, Jeffrey; Scott, L. Ridgway
1
2021
Weakly hyperbolic systems by symmetrization. Zbl 1435.35230
Colombini, Ferruccio; Nishitani, Tatsuo; Rauch, Jeffrey
3
2019
Nobody’s perfect; matched layers for heterogeneous media. Zbl 1407.65157
Halpern, Laurence; Métivier, Ludovic; Rauch, Jeffrey; Ryan, Juliette
1
2019
Convergence along mean flows. Zbl 1366.35094
Holding, Thomas; Hutridurga, Harsha; Rauch, Jeffrey
4
2017
Strictly dissipative nonuniqueness with corners. Zbl 1377.35193
Métivier, Guy; Rauch, Jeffrey
2
2017
Hyperbolic boundary value problems with trihedral corners. Zbl 1336.35217
Halpern, Laurence; Rauch, Jeffrey
5
2016
Eigenvalues for Maxwell’s equations with dissipative boundary conditions. Zbl 1348.35257
Colombini, Ferruccio; Petkov, Vesselin; Rauch, Jeffrey
4
2016
Numerical analysis of very weakly well-posed hyperbolic Cauchy problems. Zbl 1350.65087
Colombini, F.; Rauch, J.
2
2015
The one way linearized water wave equations. Zbl 1322.35115
Jennings, G. I.; Karni, S.; Rauch, J.
1
2015
Spectral problems for non-elliptic symmetric systems with dissipative boundary conditions. Zbl 1296.35104
Colombini, Ferruccio; Petkov, Vesselin; Rauch, Jeffrey
8
2014
Water wave propagation in unbounded domains. II: Numerical methods for fractional PDEs. Zbl 1349.76343
Jennings, G. I.; Prigge, D.; Carney, S.; Karni, S.; Rauch, J. B.; Abgrall, R.
5
2014
Water wave propagation in unbounded domains. part I: nonreflecting boundaries. Zbl 1349.76031
Jennings, G. I.; Karni, S.; Rauch, J. B.
4
2014
Bérenger/Maxwell with discontinous absorptions: existence, perfection, and no loss. Zbl 1327.65174
Halpern, Laurence; Rauch, Jeffrey
1
2014
Global stability of steady transonic Euler shocks in quasi-one-dimensional nozzles. Zbl 1287.35073
Rauch, Jeffrey; Xie, Chunjing; Xin, Zhouping
4
2013
Diffraction of Bloch wave packets for Maxwell’s equations. Zbl 1281.35083
Allaire, Grégoire; Palombaro, Mariapia; Rauch, Jeffrey
2
2013
Hyperbolic partial differential equations and geometric optics. Zbl 1252.35004
Rauch, Jeffrey
53
2012
Stability of transonic shock solutions for one-dimensional Euler-Poisson equations. Zbl 1261.76055
Luo, Tao; Rauch, Jeffrey; Xie, Chunjing; Xin, Zhouping
20
2011
The analysis of matched layers. Zbl 1263.65088
Halpern, L.; Petit-Bergez, S.; Rauch, J.
17
2011
Diffractive geometric optics for Bloch wave packets. Zbl 1269.78004
Allaire, Grégoire; Palombaro, Mariapia; Rauch, Jeffrey
15
2011
Incoming and disappearing solutions for Maxwell’s equations. Zbl 1217.35180
Colombini, Ferruccio; Petkov, Vesselin; Rauch, Jeffrey
4
2011
Sharp finite speed for hyperbolic problems well posed in Gevrey classes. Zbl 1221.35223
Colombini, F.; Rauch, J.
2
2011
Precise finite speed and uniqueness in the Cauchy problem for symmetrizable hyperbolic systems. Zbl 1228.35134
Rauch, Jeffrey
1
2011
Dispersive stabilization. Zbl 1192.35165
Métivier, Guy; Rauch, Jeffrey
3
2010
Hyperbolic systems modeling currency hoarding. Zbl 1197.35158
Quercioli, Elena; Rauch, Jeffrey
1
2010
Diffractive behavior of the wave equation in periodic media: weak convergence analysis. Zbl 1200.35019
Allaire, Grégoire; Palombaro, Mariapia; Rauch, Jeffrey
12
2009
Exponential growth for the wave equation with compact time-periodic positive potential. Zbl 1171.35422
Colombini, Ferruccio; Rauch, Jeffrey; Petkov, Vesselin
2
2009
Smooth localized parametric resonance for wave equations. Zbl 1158.35012
Colombini, Ferruccio; Rauch, Jeffrey
6
2008
A simple example of localized parametric resonance for the wave equation. Zbl 1199.35205
Colombini, Ferruccio; Rauch, Jeffrey
1
2008
A note on two-dimensional transport with bounded divergence. Zbl 1122.35143
Colombini, Ferruccio; Crippa, Gianluca; Rauch, Jeffrey
11
2006
Nonlinear asymptotics for hyperbolic internal waves of small width. Zbl 1096.35083
Gues, Olivier; Rauch, Jeffrey
3
2006
Polynomial decay for a hyperbolic-parabolic coupled system. Zbl 1077.35030
Rauch, Jeffrey; Zhang, Xu; Zuazua, Enrique
45
2005
Uniqueness in the Cauchy problem for transport in \(\mathbb R^2\) and \(\mathbb R^{1+2}\). Zbl 1134.35311
Colombini, Ferruccio; Rauch, Jeffrey
8
2005
Regularity of functions smooth along foliations, and elliptic regularity. Zbl 1073.35077
Rauch, Jeffrey; Taylor, Michael
8
2005
Precise finite speed with bare hands. Zbl 1123.35334
Rauch, Jeffrey
6
2005
Hypberbolic domains of determinacy and Hamilton-Jacobi equations. Zbl 1090.35114
Joly, Jean-Luc; Métivier, Guy; Rauch, Jeffrey
5
2005
Nearly Lipschitzean divergence free transport propagates neither continuity nor BV regularity. Zbl 1088.35015
Colombini, Ferruccio; Luo, Tao; Rauch, Jeffrey
10
2004
Focusing of spherical nonlinear pulses in \(\mathbb R^{1+3}\). II: Nonlinear caustic. Zbl 1094.35081
Carles, Rémi; Rauch, Jeffrey
2
2004
Focusing of spherical nonlinear pulses in \(\mathbb R^{1+3}\). III: Sub and supercritical cases. Zbl 1095.35010
Carles, Rémi; Rauch, Jeffrey
1
2004
Diffractive nonlinear geometric optics for short pulses. Zbl 1036.35049
Alterman, Deborah; Rauch, Jeffrey
14
2003
Uniqueness and nonuniqueness for nonsmooth divergence free transport. Zbl 1065.35089
Colombini, F.; Luo, T.; Rauch, J.
12
2003
Nonlinear geometric optics for short pulses. Zbl 1006.35015
Alterman, Deborah; Rauch, Jeffrey
10
2002
Focusing of spherical nonlinear pulses in \({\mathbb R}^{1+3}\). Zbl 0983.35089
Carles, R.; Rauch, J.
2
2002
Validity of nonlinear geometric optics with times growing logarithmically. Zbl 0980.35093
Lannes, David; Rauch, Jeffrey
5
2001
Focusing of spherical nonlinear pulses in \(\mathbb{R}^{1+3}\) and absorption. (Absorption d’impulsions non linéaires radiales focalisantes dans \(\mathbb{R}^{1+3}\).) Zbl 0988.35120
Carles, Rémi; Rauch, Jeffrey
3
2001
Focusing of spherical nonlinear pulses in \(\mathbb{R}^{1+3}\) and scattering. (Diffusion d’impulsions non linéaires radiales focalisantes dans \(\mathbb{R}^{1+3}\).) Zbl 0985.35045
Carles, Rémi; Rauch, Jeffrey
2
2001
Global solutions to Maxwell equations in a ferromagnetic medium. Zbl 0964.35155
Joly, J. L.; Métivier, G.; Rauch, J.
23
2000
Transparent nonlinear geometric optics and Maxwell-Bloch equations. Zbl 1170.78311
Joly, Jean-Luc; Metivier, Guy; Rauch, Jeffrey
17
2000
Diffractive short pulse asymptotics for nonlinear wave equations. Zbl 0947.35033
Alterman, Deborah; Rauch, Jeffrey
11
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
6
2000
The linear diffractive pulse equation. Zbl 1001.35015
Alterman, Deborah; Rauch, Jeffrey
4
2000
Lectures on geometric optics. Zbl 0926.35003
Rauch, Jeffrey; Keel, Markus
9
1999
Nonlinear geometric optics and Maxwell-Bloch equations. (Optique géométrique non linéaire et équations de Maxwell-Bloch.) 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
3
1999
Diffractive nonlinear geometric optics with rectification. Zbl 0928.35093
Joly, Jean-Luc; Metivier, Guy; Rauch, Jeffrey
22
1998
Electromagnetic wave propagation in presence of a ferromagnetic material. (Propagation des ondes électromagnétiques en présence d’un matériau ferromagnétique.) Zbl 0913.65119
Joly, Jean-Luc; Métivier, Guy; Rauch, Jeffrey
5
1998
Dense oscillations for the compressible 2D Euler equations. Zbl 0952.35102
Joly, J. L.; Metivier, G.; Rauch, J.
2
1998
Dispersive nonlinear geometric optics. Zbl 0881.35078
Donnat, Phillipe; Rauch, Jeffrey
13
1997
Caustics for dissipative semilinear oscillations. Zbl 0891.35098
Joly, Jean-Luc; Métivier, Guy; Rauch, Jeffrey
3
1997
Modeling the dispersion of light. Zbl 0881.35113
Donnat, Phillipe; Rauch, Jeffrey
2
1997
Diffractive nonlinear geometric optics. Zbl 0910.35076
Donnat, P.; Joly, J.-L.; Métivier, G.; Rauch, J.
10
1996
Global solvability of the Maxwell-Bloch equations from nonlinear optics. Zbl 0873.35093
Donnat, P.; Rauch, J.
8
1996
Nonlinear oscillations beyond caustics. Zbl 0862.35066
Joly, Jean-Luc; Métivier, Guy; Rauch, Jeffrey
7
1996
Global solvability of the anharmonic oscillator model from nonlinear optics. Zbl 0859.35124
Joly, J. L.; Metivier, G.; Rauch, J.
7
1996
Several recent results in nonlinear geometric optics. Zbl 0854.35115
Joly, Jean-Luc; Métivier, Guy; Rauch, Jeffrey
3
1996
Dense oscillations for the Euler equations. II. Zbl 0920.35112
Joly, J.-L.; Metivier, G.; Rauch, J.
1
1996
Coherent and focusing multidimensional nonlinear geometric optics. Zbl 0836.35087
Joly, J.-L.; Métivier, G.; Rauch, J.
42
1995
Absorbing boundary conditions for diffusion equations. Zbl 0838.65117
Halpern, L.; Rauch, J.
31
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.
6
1995
Coherent nonlinear waves and the Wiener algebra. Zbl 0791.35019
Joly, J.-L.; Métivier, G.; Rauch, J.
17
1994
A nonlinear instability for \(3\times 3\) systems of conservation laws. Zbl 0820.35093
Joly, J. L.; Metivier, G.; Rauch, J.
10
1994
Variational algorithms for the Helmholtz equation using time evolution and artificial boundaries. Zbl 0818.65100
Bardos, Claude; Rauch, Jeffrey
10
1994
Boundary value problems with nonuniformly characteristic boundary. Zbl 0832.35026
Rauch, J.
8
1994
Generic rigorous asymptotic expansions for weakly nonlinear multidimensional oscillatory waves. Zbl 0815.35066
Joly, J.-L.; Metivier, G.; Rauch, J.
39
1993
Resonant one dimensional nonlinear geometric optics. Zbl 0851.35023
Joly, J.-L.; Métivier, G.; Rauch, J.
30
1993
Blow-up of test fields near Cauchy horizons. Zbl 0811.35152
Rauch, J.; Rendall, A. D.
1
1993
Focusing and absorption of nonlinear oscillations. Zbl 0815.35071
Joly, J. L.; Métivier, G.; Rauch, J.
1
1993
Sharp sufficient conditions for the observation, control, and stabilization of waves from the boundary. Zbl 0786.93009
Bardos, Claude; Lebeau, Gilles; Rauch, Jeffrey
577
1992
Justification of multidimensional single phase semilinear geometric optics. Zbl 0771.35010
Joly, Jean-Luc; Rauch, Jeffrey
14
1992
Contrôllabilité exacte, homogénéisation et localisation d’ondes dans un milieu non-homogène. (Exact controllability, homogenization and localization of waves in a non-homogeneous medium). Zbl 0763.93006
Avellaneda, Marco; Bardos, Claude; Rauch, Jeffrey
8
1992
Nonlinear high frequency hyperbolic waves. Zbl 0824.35077
Joly, J. L.; Metivier, G.; Rauch, J.
7
1992
Partial differential equations. Zbl 0742.35001
Rauch, Jeffrey
66
1991
Stabilisation de l’équation des ondes au moyen d’un feedback portant sur la condition aux limites de Dirichlet. (Stabilization of the wave equation by Dirichlet type boundary feedback). Zbl 0764.35055
Bardos, Claude; Halpern, Laurence; Lebeau, Gilles; Rauch, Jeffrey; Zuazua, Enrique
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
Nonlinear resonance can create dense oscillations. Zbl 0794.35098
Joly, Jean-Luc; Rauch, Jeffrey
6
1991
Measure valued solutions of asymptotically homogeneous semilinear hyperbolic systems in one space variable. Zbl 0691.35007
Demengel, F.; Rauch, J.
6
1990
Interaction of piecewise smooth progressing waves for semilinear hyperbolic equations. Zbl 0711.35080
Métivier, Guy; Rauch, Jeffrey
5
1990
Weak convergence of asymptotically homogeneous functions of measures. Zbl 0709.46011
Demengel, Françoise; Rauch, Jeffrey
4
1990
Rigorous resonant 1-d nonlinear geometric optics. Zbl 0718.35094
Joly, J. L.; Métivier, G.; Rauch, J.
4
1990
Boundedness of dispersive difference schemes. Zbl 0729.65065
Estep, Donald; Loss, Michael; Rauch, Jeffrey
2
1990
Microlocal ideas in control and stabilization. Zbl 0676.93040
Bardos, Claude; Lebeau, Gilles; Rauch, Jeffrey
5
1989
The interaction of two progressing waves. Zbl 0697.35093
Métivier, Guy; Rauch, Jeffrey
1
1989
Un example d’utilisation des notions de propagation pour le contrôle et la stabilisation de problèmes hyperboliques. (An example on the utilisation of notions of propagation for the control and stabilization of hyperbolic problems). Zbl 0673.93037
Bardos, C.; Lebeau, G.; Rauch, J.
25
1988
Classical conormal solutions of semilinear systems. Zbl 0665.35046
Rauch, Jeffrey; Reed, Michael
5
1988
Bounded, stratified and striated solutions of hyperbolic systems. Zbl 0695.35124
Rauch, J.; Reed, M.
4
1988
Explosion for some semilinear wave equations. Zbl 0679.35068
Rauch, Jeffrey
3
1988
Ondes oscillantes semi-linéaires à hautes fréquences. (Semilinear oscillating waves at high frequencies). Zbl 0724.35070
Joly, J.-L.; Rauch, J.
2
1988
Nonlinear superposition and absorption of delta waves in one space dimension. Zbl 0661.35058
Rauch, Jeffrey; Reed, Michael C.
22
1987
...and 54 more Documents
all top 5

Cited by 2,022 Authors

67 Rauch, Jeffrey B.
33 Zuazua, Enrique
26 Cavalcanti, Marcelo Moreira
25 Ammari, Kais
21 Métivier, Guy
20 Domingos Cavalcanti, Valéria Neves
20 Lasiecka, Irena
19 Rao, Bopeng
19 Tcheugoué Tébou, Louis Roder
17 Nicaise, Serge
16 Oksanen, Lauri
16 Zhang, Xu
15 Alabau-Boussouira, Fatiha
15 Léautaud, Matthieu
15 Li, Tatsien
15 Ozawa, Shin
14 Burq, Nicolas
14 Temam, Roger Meyer
13 Yamamoto, Masahiro
12 Cheverry, Christophe
12 Guès, Olivier
12 Trélat, Emmanuel
12 Wang, Ya-Guang
11 Aloui, Lassaad
11 Carles, Rémi
11 Colombini, Ferruccio
11 Ervedoza, Sylvain
11 Lebeau, Gilles
11 Oberguggenberger, Michael B.
11 Triggiani, Roberto
10 Petkov, Vesselin M.
10 Tucsnak, Marius
9 Bellassoued, Mourad
9 Coulombel, Jean-François
9 Fu, Xiaoyu
9 Kian, Yavar
9 Lassas, Matti J.
9 Laurent, Camille
9 Lü, Qi
9 Privat, Yannick
9 Williams, Mark
9 Yin, Huicheng
9 Zhang, Qiong
8 Colin, Thierry
8 Gesztesy, Fritz
8 Li, Dening
8 Panagiotopoulos, Panagiotis D.
8 Papageorgiou, Nikolaos S.
8 Park, Jong Yeoul
8 Park, SunHye
8 Pignotti, Cristina
8 Reed, Michael C.
8 Robbiano, Luc
8 Trakhinin, Yuri L.
8 Xin, Zhouping
8 Zworski, Maciej
7 Antoine, Xavier
7 Avalos, George
7 Burazin, Krešimir
7 Chen, Shuxing
7 Cîndea, Nicolae
7 Daoulatli, Moez
7 Gonzalez Martinez, Victor Hugo
7 Halpern, Laurence
7 Joly, Jean-Luc
7 Mei, Ming
7 Ning, Zhenhu
7 Royer, Julien
7 Secchi, Paolo
7 Wehbe, Ali
6 Allaire, Grégoire
6 Ammari, Habib M.
6 Coron, Jean-Michel
6 Crippa, Gianluca
6 Jabin, Pierre-Emmanuel
6 Kaizu, Satoshi
6 Kmit, Irina
6 Lannes, David
6 Le Rousseau, Jérôme H.
6 Moireau, Philippe
6 Schneider, Guido
6 Soffer, Avraham
6 Stefanov, Plamen D.
6 Xie, Chunjing
6 Yang, Fengyan
6 Zhang, Guojing
6 Zhang, Kaijun
5 Alazard, Thomas
5 Antonić, Nenad
5 Bae, Myoungjean
5 Chentouf, Boumediène
5 Choulli, Mourad
5 Christianson, Hans
5 Darbas, Marion
5 Dehman, Belhassen
5 Del Santo, Daniele
5 Duan, Ben
5 Duru, Kenneth
5 Eller, Matthias M.
5 Erdoğan, Mehmet Burak
...and 1,922 more Authors
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Cited in 321 Serials

160 Journal of Differential Equations
93 Journal of Mathematical Analysis and Applications
83 Communications in Partial Differential Equations
54 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
53 Archive for Rational Mechanics and Analysis
46 Communications in Mathematical Physics
45 Journal of Functional Analysis
41 Journal de Mathématiques Pures et Appliquées. Neuvième Série
39 Transactions of the American Mathematical Society
34 Nonlinear Analysis. Theory, Methods & Applications
32 SIAM Journal on Control and Optimization
30 SIAM Journal on Mathematical Analysis
29 Proceedings of the Japan Academy. Series A
27 Journal of Computational Physics
27 Duke Mathematical Journal
27 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
25 Comptes Rendus. Mathématique. Académie des Sciences, Paris
23 Journal of Mathematical Physics
22 Journal of Hyperbolic Differential Equations
20 Systems & Control Letters
20 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
19 Applied Mathematics and Optimization
18 ZAMP. Zeitschrift für angewandte Mathematik und Physik
18 Mathematische Zeitschrift
17 Applicable Analysis
17 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
16 Journal of Computational and Applied Mathematics
16 Mathematical Control and Related Fields
15 Mathematical Methods in the Applied Sciences
15 Annales de l’Institut Fourier
15 Proceedings of the American Mathematical Society
14 Advances in Mathematics
14 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
14 Journal of the European Mathematical Society (JEMS)
14 Evolution Equations and Control Theory
13 Mathematics of Computation
13 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
13 Discrete and Continuous Dynamical Systems
12 Applied Mathematics and Computation
11 Numerische Mathematik
11 Séminaire Laurent Schwartz. EDP et Applications
10 Computer Methods in Applied Mechanics and Engineering
10 Annali di Matematica Pura ed Applicata. Serie Quarta
10 Publications of the Research Institute for Mathematical Sciences, Kyoto University
10 Quarterly of Applied Mathematics
10 Applied Mathematics Letters
10 MCSS. Mathematics of Control, Signals, and Systems
10 Communications on Pure and Applied Analysis
9 Computers & Mathematics with Applications
9 Communications on Pure and Applied Mathematics
9 Journal d’Analyse Mathématique
9 Mathematische Annalen
9 Zeitschrift für Analysis und ihre Anwendungen
9 Acta Applicandae Mathematicae
9 Asymptotic Analysis
9 SIAM Journal on Applied Mathematics
9 Communications in Contemporary Mathematics
9 Journal of Evolution Equations
8 Inventiones Mathematicae
8 Chinese Annals of Mathematics. Series B
8 Journal of Dynamics and Differential Equations
7 Journal of Mathematical Biology
7 Theoretical and Mathematical Physics
7 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
7 Automatica
7 Numerical Functional Analysis and Optimization
7 Physica D
7 Applied Numerical Mathematics
7 RAIRO. Modélisation Mathématique et Analyse Numérique
7 The Journal of Geometric Analysis
7 Bulletin of the American Mathematical Society. New Series
7 Journal of Mathematical Sciences (New York)
6 Journal of Statistical Physics
6 Physics Letters. A
6 Bulletin de la Société Mathématique de France
6 Numerical Methods for Partial Differential Equations
6 Journal of the American Mathematical Society
6 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
6 NoDEA. Nonlinear Differential Equations and Applications
6 Nonlinear Analysis. Real World Applications
6 Discrete and Continuous Dynamical Systems. Series B
6 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
6 Discrete and Continuous Dynamical Systems. Series S
6 Annals of PDE
5 Israel Journal of Mathematics
5 Wave Motion
5 Integral Equations and Operator Theory
5 Monatshefte für Mathematik
5 Rendiconti del Seminario Matematico della Università di Padova
5 Acta Mathematicae Applicatae Sinica. English Series
5 Journal of Scientific Computing
5 SIAM Journal on Scientific Computing
5 European Journal of Control
5 Abstract and Applied Analysis
5 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
5 Acta Mathematica Sinica. English Series
5 Journal of the Institute of Mathematics of Jussieu
5 Advances in Difference Equations
5 Inverse Problems and Imaging
5 Journal de l’École Polytechnique – Mathématiques
...and 221 more Serials
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Cited in 55 Fields

1,723 Partial differential equations (35-XX)
405 Systems theory; control (93-XX)
212 Fluid mechanics (76-XX)
185 Numerical analysis (65-XX)
174 Operator theory (47-XX)
151 Mechanics of deformable solids (74-XX)
140 Optics, electromagnetic theory (78-XX)
116 Global analysis, analysis on manifolds (58-XX)
94 Calculus of variations and optimal control; optimization (49-XX)
92 Quantum theory (81-XX)
66 Ordinary differential equations (34-XX)
65 Dynamical systems and ergodic theory (37-XX)
54 Statistical mechanics, structure of matter (82-XX)
48 Biology and other natural sciences (92-XX)
43 Functional analysis (46-XX)
42 Probability theory and stochastic processes (60-XX)
39 Differential geometry (53-XX)
28 Several complex variables and analytic spaces (32-XX)
23 Harmonic analysis on Euclidean spaces (42-XX)
19 Potential theory (31-XX)
16 Integral equations (45-XX)
15 Relativity and gravitational theory (83-XX)
14 Real functions (26-XX)
13 Mechanics of particles and systems (70-XX)
13 Geophysics (86-XX)
12 Topological groups, Lie groups (22-XX)
11 Algebraic geometry (14-XX)
11 Information and communication theory, circuits (94-XX)
9 Linear and multilinear algebra; matrix theory (15-XX)
9 Difference and functional equations (39-XX)
9 Abstract harmonic analysis (43-XX)
8 Measure and integration (28-XX)
8 Convex and discrete geometry (52-XX)
7 History and biography (01-XX)
7 Classical thermodynamics, heat transfer (80-XX)
7 Operations research, mathematical programming (90-XX)
6 Functions of a complex variable (30-XX)
5 General and overarching topics; collections (00-XX)
5 Integral transforms, operational calculus (44-XX)
4 Number theory (11-XX)
4 Computer science (68-XX)
3 Combinatorics (05-XX)
3 Approximations and expansions (41-XX)
3 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 Mathematical logic and foundations (03-XX)
2 Special functions (33-XX)
2 General topology (54-XX)
2 Astronomy and astrophysics (85-XX)
1 Field theory and polynomials (12-XX)
1 Nonassociative rings and algebras (17-XX)
1 Geometry (51-XX)
1 Algebraic topology (55-XX)
1 Manifolds and cell complexes (57-XX)
1 Statistics (62-XX)
1 Mathematics education (97-XX)

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