Reflection of singularities of solutions to the wave equation and the leading singularity of the scattering kernel-Reference-Cited by-同舟云学术

Reflection of singularities of solutions to the wave equation and the leading singularity of the scattering kernel

Published:1980 Issue:3-4 Volume:86 Page:235-242
ISSN:0308-2105
Container-title:Proceedings of the Royal Society of Edinburgh: Section A Mathematics
language:en
Short-container-title:Proceedings of the Royal Society of Edinburgh: Section A Mathematics

Author:

Alber H. D.

Abstract

SynopsisIn this paper the reflection of singularities of solutions to the wave equation is studied using progressing wave expansions. The results are used to calculate the leading singularity of the Lax–Phillips scattering kernel, thus generalizing earlier results of Majda.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference9 articles.

1. Grazing rays and reflection of singularities of solutions to wave equations

2. A representation formula for the scattering operator and the inverse problem for arbitrary bodies

3. The scattering of sound waves by an obstacle

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

5. Propagation, reflection, and diffraction of singularities of solutions to wave equations

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1. Refereces;Scattering Theory for Hyperbolic Operators;1989

2. Initial-boundary value and scattering problems in mathematical physics;Lecture Notes in Mathematics;1988

3. The leading singularity of a wave reflected by a moving boundary;Journal of Differential Equations;1984-04

4. Justification of geometrical optics for non-convex obstacles;Journal of Mathematical Analysis and Applications;1981-04