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On transmission problems for wave propagation in two locally perturbed half-spaces

Published online by Cambridge University Press:  24 October 2008

Bo Zhang
Bo Zhang
Affiliation:
Department of Mathematics, University of Keele, Keele, Staffordshire ST5 5BG
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Abstract

In this paper, we consider transmission problems for wave propagation in two inhomogeneous half-spaces with a locally perturbed hyperplane interface. A radiation condition is obtained for the problem in the framework of the spaces B and B*. It is then used, together with the spaces B, B* and the limiting absorption method to prove the existence of the unique solution to the problem.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 115 , Issue 3 , May 1994 , pp. 545 - 558
Copyright
Copyright © Cambridge Philosophical Society 1994

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References

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