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On Sommerfeld radiation conditions for the diffraction problem with two unbounded media

Published online by Cambridge University Press:  14 November 2011

G. F. Roach  and
Bo Zhang
G. F. Roach
Affiliation:
Department of Mathematics, University of Strathclyde, Glasgow Gl 1XH, Scotland, U.K.
Bo Zhang
Affiliation:
Department of Mathematics, University of Strathclyde, Glasgow Gl 1XH, Scotland, U.K.
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Synopsis

A radiation condition is obtained, and is then used together with weighted Sobolev spaces and the limiting absorption method to establish the unique existence of solutions to the diffraction problem for the wave propagation in the case where the propagation speed is piecewise constant, and the surface separating two media is unbounded.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 121 , Issue 1-2 , 1992 , pp. 149 - 161
Copyright
Copyright © Royal Society of Edinburgh 1992

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