Grazing rays and reflection of singularities of solutions to wave equations part II (systems)

DOI10.1002/cpa.3160290502zbMath0335.35059OpenAlexW2000031019MaRDI QIDQ4102222

Michael E. Taylor

Publication date: 1976

Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/cpa.3160290502

Mathematics Subject Classification ID

Wave equation (35L05) Partial differential equations of mathematical physics and other areas of application (35Q99) Qualitative properties of solutions to partial differential equations (35B99)

Related Items (13)

Wave fronts of solutions of boundary-value problems for symmetric hyperbolic systems. II. Systems with characteristics of constant multiplicity ⋮ Uniqueness in the elastic bounce problem. II ⋮ Boundary Conditions and Subelliptic Estimates for Geometric Kramers-Fokker-Planck Operators on Manifolds with Boundaries ⋮ Diffraction at Corners for the Wave Equation on Differential Forms ⋮ Regularite gevrey 3 pour la diffraction ⋮ Contrôle et stabilisation d'ondes électromagnétiques ⋮ Parametrix and propagation of singularities for the interior mixed hyperbolic problem ⋮ Propagation, reflection, and diffraction of singularities of solutions to wave equations ⋮ Reflection of singularities of solutions to the wave equation and the leading singularity of the scattering kernel ⋮ Local energy decay of solutions of linearized shallow‐water equations ⋮ Inverse scattering problem for transparent obstacles ⋮ Møller operators and Hadamard states for Dirac fields with MIT boundary conditions ⋮ Singularities of transmission problems

Cites Work

• Microlocal parametrices for diffractive boundary value problems
• High frequency asymptotics for the scattering matrix and the inverse problem of acoustical scattering

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