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The limiting-amplitude principle for the wave propagation problem with two unbounded media

Published online by Cambridge University Press:  24 October 2008

G. F. Roach  and
Bo Zhang
G. F. Roach
Affiliation:
Department of Mathematics, University of Strathclyde, Glasgow G1 1XH, Scotland
Bo Zhang
Affiliation:
Department of Mathematics, University of Strathclyde, Glasgow G1 1XH, Scotland
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Abstract

In this paper, we consider the diffraction problem for wave propagation in inhomogeneous, penetrable media with an unbounded interface. The low frequency behaviour of the resolvent for the reduced wave operator is studied, and the validity of the limiting-amplitude principle for such an operator is proved.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 112 , Issue 1 , July 1992 , pp. 207 - 223
Copyright
Copyright © Cambridge Philosophical Society 1992

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