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Rauch, Jeffrey B.

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Published as: Rauch, Jeffrey; Rauch, J.; Rauch, J. B.; Rauch, Jeffrey B.
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Documents Indexed: 196 Publications since 1971, including 6 Books
all top 5

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
4 Asymptotic Analysis
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 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
2 Journal of Hyperbolic Differential Equations
2 Séminaire Laurent Schwartz. EDP et Applications
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 Tohoku 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 Nonlinear Analysis. Theory, Methods & Applications

Publications by Year

Citations contained in zbMATH Open

151 Publications have been cited 2,486 times in 1,903 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
518
1992
Potential and scattering theory on wildly perturbed domains. Zbl 0293.35056
Rauch, Jeffrey; Taylor, Michael
131
1975
Exponential decay of solutions to hyperbolic equations in bounded domains. Zbl 0281.35012
Rauch, Jeffrey; Taylor, Michael
104
1974
Differentiability of solutions to hyperbolic initial-boundary value problems. Zbl 0282.35014
Rauch, Jeffrey B.; Massey, Frank J. III
85
1974
Symmetric positive systems with boundary characteristic of constant multiplicity. Zbl 0549.35099
Rauch, Jeffrey
66
1985
Local decay of scattering solutions to Schrödinger’s equation. Zbl 0381.35023
Rauch, Jeffrey
62
1978
Partial differential equations. Zbl 0742.35001
Rauch, Jeffrey
61
1991
Discontinuous semilinear differential equations and multiple valued maps. Zbl 0413.35031
Rauch, Jeffrey
52
1977
\({\mathcal L}_ 2\) is a continuable initial condition for Kreiss’ mixed problems. Zbl 0226.35056
Rauch, Jeffrey
49
1972
The Dirichlet problem for the multidimensional Monge-Ampère equation. Zbl 0367.35025
Rauch, Jeffrey; Taylor, B. A.
49
1977
Qualitative theory of the Fitz Hugh-Nagumo equations. Zbl 0379.92002
Rauch, Jeffrey; Smoller, Joel
47
1978
Nonlinear microlocal analysis of semilinear hyperbolic systems in one space dimension. Zbl 0503.35055
Rauch, Jeffrey; Reed, Michael
45
1982
Decay of solutions tonondissipative hyperbolic systems on compact manifolds. Zbl 0295.35048
Rauch, J.; Taylor, Michael
40
1975
Hyperbolic partial differential equations and geometric optics. Zbl 1252.35004
Rauch, Jeffrey
40
2012
Coherent and focusing multidimensional nonlinear geometric optics. Zbl 0836.35087
Joly, J.-L.; Métivier, G.; Rauch, J.
38
1995
Polynomial decay for a hyperbolic-parabolic coupled system. Zbl 1077.35030
Rauch, Jeffrey; Zhang, Xu; Zuazua, Enrique
37
2005
Generic rigorous asymptotic expansions for weakly nonlinear multidimensional oscillatory waves. Zbl 0815.35066
Joly, J.-L.; Metivier, G.; Rauch, J.
35
1993
Perturbation theory for eigenvalues and resonances of Schrödinger hamiltonians. Zbl 0432.35013
Rauch, Jeffrey
32
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
28
1981
Strongly nonlinear perturbations of nonnegative boundary value problems with kernel. Zbl 0405.34019
McKenna, P. J.; Rauch, J.
27
1978
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
Singularities of solutions to semilinear wave equations. Zbl 0388.35045
Rauch, Jeffrey
25
1979
Global solutions to Maxwell equations in a ferromagnetic medium. Zbl 0964.35155
Joly, J. L.; Métivier, G.; Rauch, J.
23
2000
Propagation of singularities for semilinear hyperbolic equations in one space variable. Zbl 0432.35055
Rauch, Jeffrey; Reed, Michael C.
23
1980
BV estimates fail for most quasilinear hyperbolic systems in dimensions greater than one. Zbl 0619.35073
Rauch, Jeffrey
22
1986
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
21
1998
Singularities produced by the nonlinear interaction of three progressing waves; examples. Zbl 0502.35060
Rauch, Jeffrey; Reed, Michael C.
21
1982
Maximal positive boundary value problems as limits of singular perturbation problems. Zbl 0485.35010
Bardos, Claude; Rauch, Jeffrey
20
1982
Scattering frequencies and Gevrey 3 singularities. Zbl 0723.35058
Bardos, C.; Lebeau, G.; Rauch, J.
19
1987
Focusing at a point and absorption of nonlinear oscillations. Zbl 0857.35087
Joly, J. L.; Métivier, G.; Rauch, J.
19
1995
Stability of transonic shock solutions for one-dimensional Euler-Poisson equations. Zbl 1261.76055
Luo, Tao; Rauch, Jeffrey; Xie, Chunjing; Xin, Zhouping
18
2011
Transparent nonlinear geometric optics and Maxwell-Bloch equations. Zbl 1170.78311
Joly, Jean-Luc; Metivier, Guy; Rauch, Jeffrey
17
2000
The analysis of matched layers. Zbl 1263.65088
Halpern, L.; Petit-Bergez, S.; Rauch, J.
17
2011
Coherent nonlinear waves and the Wiener algebra. Zbl 0791.35019
Joly, J.-L.; Métivier, G.; Rauch, J.
16
1994
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
Penetrations into shadow regions and unique continuation properties in hyperbolic mixed problems. Zbl 0227.35064
Rauch, Jeffrey; Taylor, Michael
15
1972
Striated solutions of semilinear, two speed wave equations. Zbl 0559.35053
Rauch, Jeffrey; Reed, Michael
15
1985
On convergence of the finite element method for the wave equation. Zbl 0575.65091
Rauch, Jeffrey
15
1985
Diffractive geometric optics for Bloch wave packets. Zbl 1269.78004
Allaire, Grégoire; Palombaro, Mariapia; Rauch, Jeffrey
14
2011
Diffractive nonlinear geometric optics for short pulses. Zbl 1036.35049
Alterman, Deborah; Rauch, Jeffrey
13
2003
Discontinuous progressing waves for semilinear systems. Zbl 0598.35069
Rauch, Jeffrey; Reed, Michael C.
13
1985
Dispersive nonlinear geometric optics. Zbl 0881.35078
Donnat, Phillipe; Rauch, Jeffrey
12
1997
Justification of multidimensional single phase semilinear geometric optics. Zbl 0771.35010
Joly, Jean-Luc; Rauch, Jeffrey
12
1992
Diffractive behavior of the wave equation in periodic media: weak convergence analysis. Zbl 1200.35019
Allaire, Grégoire; Palombaro, Mariapia; Rauch, Jeffrey
12
2009
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
Uniqueness and nonuniqueness for nonsmooth divergence free transport. Zbl 1065.35089
Colombini, F.; Luo, T.; Rauch, J.
10
2003
Nonlinear geometric optics for short pulses. Zbl 1006.35015
Alterman, Deborah; Rauch, Jeffrey
10
2002
A model for harmonics on stringed instruments. Zbl 0534.47027
Bamberger, A.; Rauch, J.; Taylor, M.
10
1982
Lectures on geometric optics. Zbl 0926.35003
Rauch, Jeffrey; Keel, Markus
9
1999
Diffractive nonlinear geometric optics. Zbl 0910.35076
Donnat, P.; Joly, J.-L.; Métivier, G.; Rauch, J.
9
1996
Asymptotic behavior of solutions to hyperbolic partial differential equations with zero speeds. Zbl 0368.35043
Rauch, Jeffrey
9
1978
Regularity of functions smooth along foliations, and elliptic regularity. Zbl 1073.35077
Rauch, Jeffrey; Taylor, Michael
8
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
Diffractive short pulse asymptotics for nonlinear wave equations. Zbl 0947.35033
Alterman, Deborah; Rauch, Jeffrey
8
2000
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
8
1991
Decaying states of perturbed wave equations. Zbl 0324.35073
Rauch, Jeffrey; Taylor, Michael
8
1976
Nearly Lipschitzean divergence free transport propagates neither continuity nor BV regularity. Zbl 1088.35015
Colombini, Ferruccio; Luo, Tao; Rauch, Jeffrey
8
2004
Global solvability of the Maxwell-Bloch equations from nonlinear optics. Zbl 0873.35093
Donnat, P.; Rauch, J.
8
1996
Spectral problems for non-elliptic symmetric systems with dissipative boundary conditions. Zbl 1296.35104
Colombini, Ferruccio; Petkov, Vesselin; Rauch, Jeffrey
7
2014
Boundary value problems with nonuniformly characteristic boundary. Zbl 0832.35026
Rauch, J.
7
1994
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
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
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
7
1992
Global solvability of the Casimir operator. Zbl 0323.58021
Rauch, Jeffrey; Wigner, David
7
1976
Propagation de la régularité locale de solutions d’équations hyperboliques non linéaires. (Propagation of local smoothness for solutions of nonlinear hyperbolic equations). Zbl 0617.35079
Gerard, P.; Rauch, J.
6
1987
Measure valued solutions of asymptotically homogeneous semilinear hyperbolic systems in one space variable. Zbl 0691.35007
Demengel, F.; Rauch, J.
6
1990
Smooth localized parametric resonance for wave equations. Zbl 1158.35012
Colombini, Ferruccio; Rauch, Jeffrey
6
2008
Nonlinear resonance can create dense oscillations. Zbl 0794.35098
Joly, Jean-Luc; Rauch, Jeffrey
6
1991
Trilinear compensated compactness and nonlinear geometric optics. Zbl 0840.35013
Joly, J. L.; Métivier, G.; Rauch, J.
5
1995
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
Hypberbolic domains of determinacy and Hamilton-Jacobi equations. Zbl 1090.35114
Joly, Jean-Luc; Métivier, Guy; Rauch, Jeffrey
5
2005
Microlocal ideas in control and stabilization. Zbl 0676.93040
Bardos, Claude; Lebeau, Gilles; Rauch, Jeffrey
5
1989
Caustics for dissipative semilinear oscillations. Zbl 0963.35114
Joly, Jean-Luc; Metivier, Guy; Rauch, Jeffrey
5
2000
Validity of nonlinear geometric optics with times growing logarithmically. Zbl 0980.35093
Lannes, David; Rauch, Jeffrey
5
2001
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
Illumination of bounded domains. Zbl 0399.52006
Rauch, Jeffrey
5
1978
Interaction of piecewise smooth progressing waves for semilinear hyperbolic equations. Zbl 0711.35080
Métivier, Guy; Rauch, Jeffrey
5
1990
Precise finite speed with bare hands. Zbl 1123.35334
Rauch, Jeffrey
5
2005
Convergence along mean flows. Zbl 1366.35094
Holding, Thomas; Hutridurga, Harsha; Rauch, Jeffrey
4
2017
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
Classical conormal solutions of semilinear systems. Zbl 0665.35046
Rauch, Jeffrey; Reed, Michael
4
1988
Bounded, stratified and striated solutions of hyperbolic systems. Zbl 0695.35124
Rauch, J.; Reed, M.
4
1988
Water wave propagation in unbounded domains. part I: nonreflecting boundaries. Zbl 1349.76031
Jennings, G. I.; Karni, S.; Rauch, J. B.
4
2014
An inclusion theorem for ovaloids with comparable second fundamental forms. Zbl 0288.53007
Rauch, Jeffrey
4
1974
High frequency semilinear oscillations. Zbl 0703.35103
Joly, J. L.; Rauch, J.
4
1987
Boundary value problems as limits of problems in all space. Zbl 0435.35052
Rauch, J.
4
1979
Rigorous resonant 1-d nonlinear geometric optics. Zbl 0718.35094
Joly, J. L.; Métivier, G.; Rauch, J.
4
1990
Incoming and disappearing solutions for Maxwell’s equations. Zbl 1217.35180
Colombini, Ferruccio; Petkov, Vesselin; Rauch, Jeffrey
4
2011
Dispersive stabilization. Zbl 1192.35165
Métivier, Guy; Rauch, Jeffrey
3
2010
Hyperbolic boundary value problems with trihedral corners. Zbl 1336.35217
Halpern, Laurence; Rauch, Jeffrey
3
2016
The electrostatic potential of periodic crystals. Zbl 07326326
Rauch, Jeffrey; Scott, L. Ridgway
1
2021
Weakly hyperbolic systems by symmetrization. Zbl 1435.35230
Colombini, Ferruccio; Nishitani, Tatsuo; Rauch, Jeffrey
2
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
1
2017
Hyperbolic boundary value problems with trihedral corners. Zbl 1336.35217
Halpern, Laurence; Rauch, Jeffrey
3
2016
Eigenvalues for Maxwell’s equations with dissipative boundary conditions. Zbl 1348.35257
Colombini, Ferruccio; Petkov, Vesselin; Rauch, Jeffrey
3
2016
The one way linearized water wave equations. Zbl 1322.35115
Jennings, G. I.; Karni, S.; Rauch, J.
1
2015
Numerical analysis of very weakly well-posed hyperbolic Cauchy problems. Zbl 1350.65087
Colombini, F.; Rauch, J.
1
2015
Spectral problems for non-elliptic symmetric systems with dissipative boundary conditions. Zbl 1296.35104
Colombini, Ferruccio; Petkov, Vesselin; Rauch, Jeffrey
7
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
Diffraction of Bloch wave packets for Maxwell’s equations. Zbl 1281.35083
Allaire, Grégoire; Palombaro, Mariapia; Rauch, Jeffrey
2
2013
Global stability of steady transonic Euler shocks in quasi-one-dimensional nozzles. Zbl 1287.35073
Rauch, Jeffrey; Xie, Chunjing; Xin, Zhouping
2
2013
Hyperbolic partial differential equations and geometric optics. Zbl 1252.35004
Rauch, Jeffrey
40
2012
Stability of transonic shock solutions for one-dimensional Euler-Poisson equations. Zbl 1261.76055
Luo, Tao; Rauch, Jeffrey; Xie, Chunjing; Xin, Zhouping
18
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
14
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
2
2006
Polynomial decay for a hyperbolic-parabolic coupled system. Zbl 1077.35030
Rauch, Jeffrey; Zhang, Xu; Zuazua, Enrique
37
2005
Regularity of functions smooth along foliations, and elliptic regularity. Zbl 1073.35077
Rauch, Jeffrey; Taylor, Michael
8
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
Hypberbolic domains of determinacy and Hamilton-Jacobi equations. Zbl 1090.35114
Joly, Jean-Luc; Métivier, Guy; Rauch, Jeffrey
5
2005
Precise finite speed with bare hands. Zbl 1123.35334
Rauch, Jeffrey
5
2005
Nearly Lipschitzean divergence free transport propagates neither continuity nor BV regularity. Zbl 1088.35015
Colombini, Ferruccio; Luo, Tao; Rauch, Jeffrey
8
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
13
2003
Uniqueness and nonuniqueness for nonsmooth divergence free transport. Zbl 1065.35089
Colombini, F.; Luo, T.; Rauch, J.
10
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
8
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
The linear diffractive pulse equation. Zbl 1001.35015
Alterman, Deborah; Rauch, Jeffrey
3
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
2
1999
Diffractive nonlinear geometric optics with rectification. Zbl 0928.35093
Joly, Jean-Luc; Metivier, Guy; Rauch, Jeffrey
21
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.
1
1998
Dispersive nonlinear geometric optics. Zbl 0881.35078
Donnat, Phillipe; Rauch, Jeffrey
12
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.
9
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.
38
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.
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
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.
7
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
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
518
1992
Justification of multidimensional single phase semilinear geometric optics. Zbl 0771.35010
Joly, Jean-Luc; Rauch, Jeffrey
12
1992
Nonlinear high frequency hyperbolic waves. Zbl 0824.35077
Joly, J. L.; Metivier, G.; Rauch, J.
7
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
7
1992
Partial differential equations. Zbl 0742.35001
Rauch, Jeffrey
61
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
8
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
Rigorous resonant 1-d nonlinear geometric optics. Zbl 0718.35094
Joly, J. L.; Métivier, G.; Rauch, J.
4
1990
Weak convergence of asymptotically homogeneous functions of measures. Zbl 0709.46011
Demengel, Françoise; Rauch, Jeffrey
3
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
4
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
2
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
Scattering frequencies and Gevrey 3 singularities. Zbl 0723.35058
Bardos, C.; Lebeau, G.; Rauch, J.
19
1987
Error analysis for absorbing boundary conditions. Zbl 0656.35076
Halpern, Laurence; Rauch, Jeffrey
16
1987
Propagation de la régularité locale de solutions d’équations hyperboliques non linéaires. (Propagation of local smoothness for solutions of nonlinear hyperbolic equations). Zbl 0617.35079
Gerard, P.; Rauch, J.
6
1987
...and 51 more Documents
all top 5

Cited by 1,857 Authors

64 Rauch, Jeffrey B.
33 Zuazua, Enrique
21 Ammari, Kais
21 Cavalcanti, Marcelo Moreira
20 Lasiecka, Irena
20 Métivier, Guy
18 Rao, Bopeng
17 Domingos Cavalcanti, Valéria Neves
16 Tebou, Louis T.
16 Zhang, Xu
15 Alabau-Boussouira, Fatiha
15 Nicaise, Serge
15 Ozawa, Shin
14 Temam, Roger Meyer
13 Burq, Nicolas
13 Li, Tatsien
13 Yamamoto, Masahiro
12 Cheverry, Christophe
12 Guès, Olivier
12 Léautaud, Matthieu
12 Oksanen, Lauri
12 Wang, Ya-Guang
11 Lebeau, Gilles
11 Trélat, Emmanuel
11 Triggiani, Roberto
10 Aloui, Lassaad
10 Bellassoued, Mourad
10 Carles, Rémi
10 Colombini, Ferruccio
10 Ervedoza, Sylvain
10 Oberguggenberger, Michael B.
9 Kian, Yavar
9 Lü, Qi
9 Tucsnak, Marius
9 Williams, Mark
9 Yin, Huicheng
9 Zhang, Qiong
8 Colin, Thierry
8 Coulombel, Jean-François
8 Li, Dening
8 Panagiotopoulos, Panagiotis D.
8 Papageorgiou, Nikolaos S.
8 Park, Jong Yeoul
8 Park, SunHye
8 Reed, Michael C.
8 Robbiano, Luc
8 Xin, Zhouping
8 Zworski, Maciej
7 Antoine, Xavier
7 Burazin, Krešimir
7 Chen, Shuxing
7 Cîndea, Nicolae
7 Daoulatli, Moez
7 Fu, Xiaoyu
7 Gesztesy, Fritz
7 Joly, Jean-Luc
7 Lassas, Matti
7 Laurent, Camille
7 Privat, Yannick
7 Royer, Julien
7 Trakhinin, Yuri L.
6 Allaire, Grégoire
6 Ammari, Habib M.
6 Crippa, Gianluca
6 Halpern, Laurence
6 Jabin, Pierre-Emmanuel
6 Kaizu, Satoshi
6 Lannes, David
6 Le Rousseau, Jérôme H.
6 Mei, Ming
6 Moireau, Philippe
6 Petkov, Vesselin M.
6 Pignotti, Cristina
6 Secchi, Paolo
6 Soffer, Avraham
6 Wehbe, Ali
6 Xie, Chunjing
5 Alazard, Thomas
5 Antonić, Nenad
5 Avalos, George
5 Bae, Myoungjean
5 Choulli, Mourad
5 Christianson, Hans
5 Coron, Jean-Michel
5 Darbas, Marion
5 Dehman, Belhassen
5 Duru, Kenneth
5 Erdoğan, Mehmet Burak
5 Fanelli, Francesco
5 Gallagher, Isabelle
5 Goldberg, Michael Joseph
5 Gonzalez Martinez, Victor Hugo
5 Green, William R.
5 Grenier, Emmanuel
5 Gugat, Martin
5 Hassine, Fathi
5 Holden, Helge
5 Joly, Romain
5 Khenissi, Moez
5 Kmit, Irina
...and 1,757 more Authors
all top 5

Cited in 293 Serials

152 Journal of Differential Equations
87 Journal of Mathematical Analysis and Applications
82 Communications in Partial Differential Equations
51 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
49 Archive for Rational Mechanics and Analysis
45 Communications in Mathematical Physics
44 Journal of Functional Analysis
40 Journal de Mathématiques Pures et Appliquées. Neuvième Série
38 Transactions of the American Mathematical Society
34 Nonlinear Analysis. Theory, Methods & Applications
30 SIAM Journal on Control and Optimization
29 Proceedings of the Japan Academy. Series A
27 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
26 Journal of Computational Physics
26 Duke Mathematical Journal
25 SIAM Journal on Mathematical Analysis
24 Comptes Rendus. Mathématique. Académie des Sciences, Paris
23 Journal of Mathematical Physics
20 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
19 Systems & Control Letters
19 Journal of Hyperbolic Differential Equations
16 Mathematische Zeitschrift
16 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
15 Mathematical Methods in the Applied Sciences
15 ZAMP. Zeitschrift für angewandte Mathematik und Physik
15 Annales de l’Institut Fourier
15 Journal of Computational and Applied Mathematics
15 Proceedings of the American Mathematical Society
14 Advances in Mathematics
14 Applied Mathematics and Optimization
14 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
14 Mathematical Control and Related Fields
13 Applicable Analysis
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
12 Journal of the European Mathematical Society (JEMS)
11 Numerische Mathematik
10 Computer Methods in Applied Mechanics and Engineering
10 Publications of the Research Institute for Mathematical Sciences, Kyoto University
10 Applied Mathematics Letters
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 Annali di Matematica Pura ed Applicata. Serie Quarta
9 Quarterly of Applied Mathematics
9 Zeitschrift für Analysis und ihre Anwendungen
9 Acta Applicandae Mathematicae
9 MCSS. Mathematics of Control, Signals, and Systems
9 SIAM Journal on Applied Mathematics
9 Communications in Contemporary Mathematics
9 Evolution Equations and Control Theory
8 Mathematische Annalen
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 Chinese Annals of Mathematics. Series B
7 Applied Numerical Mathematics
7 RAIRO. Modélisation Mathématique et Analyse Numérique
7 Bulletin of the American Mathematical Society. New Series
7 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
7 Journal of Mathematical Sciences (New York)
7 Journal of Evolution Equations
6 Journal of Statistical Physics
6 Bulletin de la Société Mathématique de France
6 Inventiones Mathematicae
6 Physica D
6 Numerical Methods for Partial Differential Equations
6 NoDEA. Nonlinear Differential Equations and Applications
6 Discrete and Continuous Dynamical Systems. Series B
6 Annals of PDE
5 Israel Journal of Mathematics
5 Physics Letters. A
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 the American Mathematical Society
5 Journal of Scientific Computing
5 The Journal of Geometric Analysis
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 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
5 Séminaire Laurent Schwartz. EDP et Applications
4 Bulletin of the Australian Mathematical Society
4 Inverse Problems
4 Journal of Geometry and Physics
4 BIT
4 Journal of the Mathematical Society of Japan
4 Journal of Optimization Theory and Applications
4 SIAM Journal on Numerical Analysis
...and 193 more Serials
all top 5

Cited in 53 Fields

1,584 Partial differential equations (35-XX)
357 Systems theory; control (93-XX)
199 Fluid mechanics (76-XX)
171 Numerical analysis (65-XX)
165 Operator theory (47-XX)
136 Mechanics of deformable solids (74-XX)
130 Optics, electromagnetic theory (78-XX)
107 Global analysis, analysis on manifolds (58-XX)
90 Quantum theory (81-XX)
86 Calculus of variations and optimal control; optimization (49-XX)
67 Ordinary differential equations (34-XX)
63 Dynamical systems and ergodic theory (37-XX)
51 Statistical mechanics, structure of matter (82-XX)
47 Biology and other natural sciences (92-XX)
40 Functional analysis (46-XX)
39 Probability theory and stochastic processes (60-XX)
34 Differential geometry (53-XX)
26 Several complex variables and analytic spaces (32-XX)
21 Harmonic analysis on Euclidean spaces (42-XX)
18 Potential theory (31-XX)
15 Integral equations (45-XX)
15 Relativity and gravitational theory (83-XX)
13 Real functions (26-XX)
13 Geophysics (86-XX)
12 Topological groups, Lie groups (22-XX)
11 Mechanics of particles and systems (70-XX)
10 Algebraic geometry (14-XX)
10 Information and communication theory, circuits (94-XX)
9 Linear and multilinear algebra; matrix theory (15-XX)
9 Abstract harmonic analysis (43-XX)
8 Difference and functional equations (39-XX)
8 Operations research, mathematical programming (90-XX)
7 History and biography (01-XX)
7 Measure and integration (28-XX)
7 Classical thermodynamics, heat transfer (80-XX)
6 Convex and discrete geometry (52-XX)
5 Functions of a complex variable (30-XX)
4 General and overarching topics; collections (00-XX)
4 Number theory (11-XX)
4 Integral transforms, operational calculus (44-XX)
3 Computer science (68-XX)
3 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 Mathematical logic and foundations (03-XX)
2 Combinatorics (05-XX)
2 Special functions (33-XX)
2 Approximations and expansions (41-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)

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