Jeffrey Rauch
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American mathematician
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Jeffrey Rauchmathematics Degrees
Mathematics
#1389
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#2301
Historical Rank
#577
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Measure Theory
#1101
World Rank
#1414
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#404
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Mathematics
Jeffrey Rauch's Degrees
- PhD Mathematics Princeton University
- Masters Mathematics Stanford University
Why Is Jeffrey Rauch Influential?
(Suggest an Edit or Addition)According to Wikipedia, Jeffrey B. Rauch is an American mathematical physicist, specializing in partial differential equations. Rauch obtained his bachelor's degree from Harvard University in 1967, and his Ph.D. from New York University in 1971 .
Jeffrey Rauch's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Sharp sufficient conditions for the observation, control, and stabilization of waves from the boundary (1992) (1426)
- Exponential Decay of Solutions to Hyperbolic Equations in Bounded Domains (1974) (285)
- Potential and scattering theory on wildly perturbed domains (1975) (264)
- Symmetric positive systems with boundary characteristic of constant multiplicity (1985) (211)
- Differentiability of solutions to hyperbolic initial-boundary value problems (1974) (204)
- The dirichlet problem for the multidimensional monge-ampere equation (1977) (144)
- Local decay of scattering solutions to Schrödinger's equation (1978) (132)
- Qualitative theory of the FitzHugh-Nagumo equations (1978) (126)
- Hyperbolic Partial Differential Equations and Geometric Optics (2012) (125)
- L2 is a continuable initial condition for kreiss' mixed problems (1972) (124)
- Decay of solutions to nondissipative hyperbolic systems on compact manifolds (1975) (112)
- Discontinuous semilinear differential equations and multiple valued maps (1977) (109)
- Nonlinear microlocal analysis of semilinear hyperbolic systems in one space dimension (1982) (108)
- Polynomial decay for a hyperbolic–parabolic coupled system (2005) (92)
- Generic rigorous asymptotic expansions for weakly nonlinear multidimensional oscillatory waves (1993) (88)
- Resonant One Dimensional Nonlinear Geometric Optics (1993) (84)
- BV estimates fail for most quasilinear hyperbolic systems in dimensions greater than one (1986) (81)
- DIFFRACTIVE NONLINEAR GEOMETRIC OPTICS WITH RECTIFICATION (1998) (78)
- Perturbation theory for eigenvalues and resonances of Schrödinger hamiltonians (1980) (69)
- Jump discontinuities of semilinear, strictly hyperbolic systems in two variables: Creation and propagation (1981) (65)
- Global Solutions to Maxwell Equations in a Ferromagnetic Medium (2000) (64)
- Absorbing boundary conditions for diffusion equations (1995) (63)
- Propagation of singularities for semilinear hyperbolic equations in one space variable (1980) (62)
- Coherent and focusing multidimensional nonlinear geometric optics (1995) (62)
- Transparent Nonlinear Geometric Optics and Maxwell–Bloch Equations (2000) (59)
- Focusing at a point and absorption of nonlinear oscillations (1995) (57)
- Singularities produced by the nonlinear interaction of three progressing waves;,examples (1982) (53)
- Nonlinear superposition and absorption of delta waves in one space dimension (1987) (48)
- Maximal positive boundary value problems as limits of singular perturbation problems (1982) (48)
- Dispersive nonlinear geometric optics (1997) (47)
- ON CONVERGENCE OF THE FINITE ELEMENT METHOD FOR THE WAVE EQUATION (1985) (44)
- Uniqueness and Nonuniqueness for Nonsmooth Divergence Free Transport (2003) (44)
- Diffractive nonlinear geometric optics (1996) (42)
- Coherent nonlinear waves and the Wiener algebra (1994) (41)
- Lectures on Geometric Optics (1999) (40)
- Scattering frequencies and Gervey 3 singularities (1987) (40)
- Error analysis for absorbing boundary conditions (1987) (39)
- Justification of multidimensional single phase semilinear geometric optics (1992) (39)
- The Analysis of Matched Layers (2011) (39)
- Diffractive short pulse asymptotics for nonlinear wave equations (2000) (37)
- Stability of Transonic Shock Solutions for One-Dimensional Euler–Poisson Equations (2010) (37)
- Strongly nonlinear perturbations of nonnegative boundary value problems with kernel (1978) (37)
- Diffractive Nonlinear Geometric Optics for Short Pulses (2003) (36)
- Qualitative behavior of dissipative wave equations on bounded domains (1976) (35)
- Nonlinear Geometric Optics for Short Pulses (2002) (34)
- Nonlinear oscillations beyond caustics (1996) (33)
- Diffractive behavior of the wave equation in periodic media: weak convergence analysis (2009) (32)
- Diffractive Geometric Optics for Bloch Wave Packets (2011) (32)
- A nonlinear instability for 3×3 systems of conservation laws (1994) (31)
- Partial Differential Equations (2018) (31)
- Penetrations into Shadow Regions and Unique Continuation Properties in Hyperbolic Mixed Problems (1972) (30)
- Caustics for Dissipative Semilinear Oscillations (2000) (30)
- A Note on Two-Dimensional Transport with Bounded Divergence (2006) (27)
- Singularities of solutions of semilinear wave equations (1982) (27)
- Trilinear compensated compactness and nonlinear geometric optics (1995) (27)
- Discontinuous progressing waves for semilinear systems (1985) (27)
- Variational algorithms for the Helmholtz equation using time evolution and artificial boundaries (1994) (24)
- Stabilisation de l'équation des ondes au moyen d'un feedback portant sur la condition aux limites de Dirichlet (1991) (24)
- Global Solvability of the Anharmonic Oscillator Model from Nonlinear Optics (1996) (24)
- Nearly Lipschitzean Divergence Free Transport Propogates neither Continuity nor BV Regularity (2004) (22)
- Global solvability of the maxwell-bloch equations from nonlinear optics (1996) (22)
- Contrôllabilité exacte, homogénéisation et localisation d'ondes dans un milieu non-homogène (1992) (21)
- The time integrated far field for Maxwell's and D'Alembert's equations (2005) (21)
- Asymptotic behavior of solutions to hyperbolic partial differential equations with zero speeds (1978) (20)
- Striated solutions of semilinear two-speed wave equations (1985) (19)
- Lecture #1. Five problems: An introduction to the qualitative theory of partial differential equations (1975) (18)
- Validity of nonlinear geometric optics with times growing logarithmically (2000) (18)
- Several recent results in nonlinear geometric optics (1996) (18)
- Propagation de la régularité locale de solutions d'équations hyperboliques non linéaires (1986) (18)
- The Order of Accuracy of Quadrature Formulae for Periodic Functions (2009) (18)
- Boundary value problems as limits of problems in all space (1979) (17)
- Global solvability of the Casimir operator (1976) (17)
- HYPERBOLIC DOMAINS OF DETERMINACY AND HAMILTON–JACOBI EQUATIONS (2005) (17)
- Decaying states of perturbed wave equations (1976) (16)
- An inclusion theorem for ovaloids with comparable second fundamental forms (1974) (16)
- Two examples illustrating the differences between classical and quantum mechanics (1973) (16)
- Focusing of spherical nonlinear pulses in R^1^+^3 (2001) (16)
- A model for harmonics on stringed instruments (1982) (16)
- Illumination of Bounded Domains (1978) (16)
- Regularity of functions smooth along foliations, and elliptic regularity (2005) (15)
- Recent Results in Non Linear Geometric Optics (1999) (14)
- Diffraction of Bloch Wave Packets for Maxwell's Equations (2012) (14)
- Uniqueness in the Cauchy problem for transport in R2 and R1+2 (2005) (14)
- The Linear Diffractive Pulse Equation (2000) (14)
- Precise Finite Speed with Bare Hands (2005) (13)
- Spectral problems for non elliptic symmetric systems with dissipative boundary conditions (2013) (12)
- Nonlinear Resonance Can Create Dense Oscillations (1991) (12)
- Lecture #2. The mathematical theory of crushed ice (1975) (12)
- Dispersive stabilization (2009) (11)
- Nonlinear hyperbolic smoothing at a focal point. (1999) (11)
- Water wave propagation in unbounded domains. Part II: Numerical methods for fractional PDEs (2014) (11)
- Interaction of piecewise smooth progressing waves for semilinear hyperbolic equations (1990) (10)
- Boundary value problems with nonuniformal characteristic boundary (1994) (10)
- Smooth localized parametric resonance for wave equations (2008) (10)
- Microlocal ideas in control and stabilization (1989) (9)
- Exponential growth for the wave equation with compact time‐periodic positive potential (2009) (9)
- BOUNDEDNESS OF DISPERSIVE DIFFERENCE SCHEMES (1990) (9)
- Energy and resolvent inequalities for hyperbolic mixed problems (1972) (9)
- Water wave propagation in unbounded domains. Part I: Nonreflecting boundaries (2014) (8)
- Propagation des ondes électromagnétiques en présence d'un matériau ferromagnétique (1998) (8)
- Global Stability of Steady Transonic Euler Shocks in Quasi-One-Dimensional Nozzles (2011) (8)
- NONLINEAR ASYMPTOTICS FOR HYPERBOLIC INTERNAL WAVES OF SMALL WIDTH (2006) (8)
- HYPERBOLIC BOUNDARY VALUE PROBLEMS WITH TRIHEDRAL CORNERS (2016) (7)
- Absorption d'impulsions non linaires radiales focalisantes dans R 1+3 (2001) (7)
- Energy inequalities for hyperbolic initial boundary value problems (1971) (7)
- Propagation of singularities in non‐strictly hyperbolic semilinear systems: Examples (1982) (7)
- Bérenger/Maxwell with Discontinous Absorptions : Existence, Perfection, and No Loss (2012) (7)
- Remarques sur l'optique géométrique non linéaire multidimensionnelle (1991) (6)
- Eigenvalues for Maxwell's equations with dissipative boundary conditions (2015) (6)
- Contrôle et stabilisation pour l'équation des ondes@@@Control and stabilization of wave equations (1987) (6)
- Crime pays; homogenized wave equations for long times (2018) (6)
- Explosion for Some Semilinear Wave Equations (1988) (6)
- Modeling the Dispersion of Light (1997) (6)
- Classical conormal, semilinear waves (1986) (5)
- Measure valued solutions of asymptotically homogeneous semilinear hyperbolic systems in one space variable (1990) (5)
- Focusing of spherical nonlinear pulses in ${\mathbb R}^{1+3}$, II. Nonlinear caustic (2004) (5)
- Focusing of Spherical Nonlinear Pulses in ${\mathbb R}^{1+3}$, III. Sub and Supercritical cases (2002) (5)
- Review: Calvin H. Wilcox, Scattering theory for the d'Alembert equation in exterior domains (1976) (5)
- Weak convergence of asymptotically homogeneous functions of measures (1990) (5)
- Convergence Along Mean Flows (2016) (5)
- HyperbolicBoundary Value Problemswith Trihedral Corners (2016) (5)
- Incoming and disappearing solutions for Maxwell's equations (2010) (5)
- Diffusion d'impulsions non linéaires radiales focalisantes dans R1+3 (2001) (4)
- The interaction of two progressing waves (1989) (4)
- Essential self-adjointness of powers of generators of hyperbolic mixed problems (1973) (4)
- Ray Methods for Nonlinear Waves in Fluids and Plasmas (A. M. Anile, J K Hunter, P. Pantano, and G. Russo) (1995) (4)
- Nonlinear Pulse Propagation (2001) (4)
- Singularities and oscillations (1997) (4)
- Microlocal analysis and nonlinear waves (1991) (4)
- Lecture #3. Scattering by many tiny obstacles (1975) (4)
- Euclidean nonlinear classical field equations with unique vacuum (1978) (3)
- Strictly Dissipative Nonuniqueness with Corners (2017) (3)
- Stability of Motion for Semilinear Equations (1977) (3)
- Real and complex regularity are equivalent for hyperbolic characteristic varieties (2003) (3)
- PRECISE FINITE SPEED AND UNIQUENESS IN THE CAUCHY PROBLEM FOR SYMMETRIZABLE HYPERBOLIC SYSTEMS (2011) (3)
- High Frequency Similinear Oscillations (1987) (2)
- NEARLY LIPSCHITZEAN DIVERGENCE FREE TRANSPORT PROPAGATES NEITHER CONTINUITY NOR BV (2004) (2)
- A Simple Example of Localized Parametric Resonance for the Wave Equation (2008) (2)
- Rigorous resonant 1-d nonlinear geometric optics (1990) (2)
- Nobody's Perfect; Matched Layers for Heterogeneous Media (2019) (2)
- Earnshaw’s Theorem in Electrostatics and a Conditional Converse to Dirichlet’s Theorem (2013) (2)
- Book Review: Partial differential equations (2000) (2)
- Ondes oscillantes semi-linéaires en 1.d (1986) (2)
- A Transmission Strategy for Hyperbolic Internal Waves of Small Width (2006) (2)
- Blow-up of test fields near Cauchy horizons (1993) (2)
- Propagation de la régularité locale de solutions d'équations hyperboliques non linéaires@@@Propagation of the local regularity of solutions of nonlinear hyperbolic equations (1986) (2)
- Dense oscillations for the compressible Euler equations (2012) (2)
- Hyperbolic Systems Modeling Currency Hoarding (2010) (2)
- Hyperbolic L p Multipliers are Translations (2006) (2)
- Ondes oscillantes semi-linéaires en 1.d@@@Semilinear oscillating waves in one dimension (1986) (1)
- Well Posedness of Perfectly Matched or DissipativeBoundary Conditions with Trihedral Corners (2015) (1)
- Kreiss' mixed problems with nonzero initial data (1971) (1)
- Strictly dissipative boundary value problems at trihedral corners (2016) (1)
- Smoothness of decaying wave motions (1975) (1)
- Focusing and absorption of nonlinear oscillations (1993) (1)
- Invariance and stability of the profile equations of geometric optics (2011) (1)
- RESONANT GEOMETRIC OPTICS AND WEBS (2001) (1)
- Optique géométrique non linéaire et équations de Maxwell-Bloch (1999) (1)
- Linear hyperbolic geometric optics (2012) (1)
- Instability of Dielectrics and Conductors in Electrostatic Fields (2017) (1)
- Topics on euclidean classical field equations with unique vacuua (1979) (1)
- A commutator proof of the propagation of polyhomogeneity for semi-linear equations (1997) (1)
- Propagation des singularités pour les équations des ondes semi-linéaires (1979) (1)
- A bound on group velocity for Bloch wave packets (2012) (1)
- Boundedness of planar jump discontinuities for homogeneous hyperbolic systems (2019) (1)
- On Bronshtein's Theorem (2015) (1)
- A general regularity theorem for semilinear hyperbolic waves in one space dimension (1982) (1)
- Correcting the Failure of the Slowly Varying Amplitude Approximation for Short Pulses (2000) (1)
- On the profiles of nonlinear geometric optics (1993) (0)
- Ultrasingularities in nonlinear waves (1987) (0)
- of Dissipative Qualitative Behavior Wave Equations on Bounded Domains (2003) (0)
- Linear elliptic geometric optics (2012) (0)
- Optimal Focusing for Monochromatic Scalar and Electromagnetic Waves (2010) (0)
- Quadrature estimates for multimendional integrals (2010) (0)
- Resonant interaction and quasilinear systems (2012) (0)
- $C^1$ measure respecting maps preserve BV if they have bounded derivative (2011) (0)
- The Dirichlet Problem (1991) (0)
- Hyperbolic L Multipliers are Translations (2006) (0)
- Propagators and x-Space Methods (1991) (0)
- Book Review: Propagation and interaction of singularities in nonlinear hyperbolic problems (1991) (0)
- Instability of Dielectrics and Conductors in Electrostatic Fields (2016) (0)
- One phase nonlinear geometric optics (2012) (0)
- B{é}renger's PML on Rectangular Domains for Pauli's Equations (2020) (0)
- Selectable payroll amounts for instant payroll deposits (2017) (0)
- Whered That Come From?: The Impact of Aggregation on Source Citations in Internet-Based Cancer News (2009) (0)
- Intuitive and Counterintuitive Energy Flux (2004) (0)
- Wave motion. By J. Billingham and A. C. King (2003) (0)
- The nonlinear Cauchy problem (2012) (0)
- Power Series Methods (1991) (0)
- Analysis of the experiment defining the dielectric constant (2020) (0)
- Quadrature Estimates for Multidimensional Integrals ∗ (2008) (0)
- Simple examples of propagation (2012) (0)
- Some Harmonic Analysis (1991) (0)
- Scattering for a one-sided Klein-Gordon equation in quantum gravity (1994) (0)
- Reviews (2003) (0)
- Stability for one phase nonlinear geometric optics (2012) (0)
- Solution of Initial Value Problems by Fourier Synthesis (1991) (0)
- Nonlinear Oscillations and Caustics (1997) (0)
- Examples of resonance in one dimensional space (2012) (0)
- The Electrostatic Potential of Periodic Crystals (2021) (0)
- On the absorption of singularities in dissipative nonlinear equations (1987) (0)
- Perfectly Matched Layers on Cubic Domains forPauli's Equations (2020) (0)
- Sub and Supercritical Cases (0)
- Review: Michael Beals, Propagation and interaction of singularities in nonlinear hyperbolic problems (1991) (0)
- The linear Cauchy problem (2012) (0)
- Global in Time Stability of Steady Shocks in Nozzles (2011) (0)
- LES DÉPÔTS SOUS VIDE DANS LE DOMAINE DES MICROTECHNIQUES (2007) (0)
- Sharp Domains of Determinacy and Hamilton-Jacobi Equations (2005) (0)
- Estimations $L^p$ d’intégrales oscillantes (1997) (0)
- Compacité par compensation trilinéaire et optique géométrique non linéaire (1994) (0)
- Leçons de mathématiques d'aujourd'hui. Vol. 3 (2007) (0)
- Mise au point d'un procédé expérimental de quantification de la teneur totale en créosote dans les bois imprégnés (2003) (0)
- Perfectly Matched Layers and Harmoniously Matched Layers : a numerical comparison for 2 D acoustic propagation in heterogeneous media (2013) (0)
- Pôles de la diffusion acoustique et singularités Gevrey 3 (1986) (0)
- The interaction of two processing waves (1989) (0)
- The Charge-Group Summation Method for Electrostatics of Periodic Crystals (2021) (0)
- A discrete algorithm for general weakly hyperbolic systems (2019) (0)
- CorrigendumCorrigendum to “Uniqueness in the Cauchy problem for transport in R2 and R1+2” [J. Differential Equations 211 (2005) 162–167] (2005) (0)
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