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

Published online by Cambridge University Press:  14 November 2011

H. D. Alber
H. D. Alber
Affiliation:
Institut für Angewandte Mathematik, Wegeierstraβe 10, 5300 Bonn, B.R.D.
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Synopsis

In 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.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 86 , Issue 3-4 , 1980 , pp. 235 - 242
Copyright
Copyright © Royal Society of Edinburgh 1980

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References

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