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Uniqueness results for direct and inverse scattering by infinite surfaces in a lossy medium

Chandler-Wilde, S. N. and Ross, C. R. (1999) Uniqueness results for direct and inverse scattering by infinite surfaces in a lossy medium. Inverse Problems, 11 (5). pp. 1063-1067. ISSN 1361-6420

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To link to this item DOI: 10.1088/0266-5611/11/5/010

Abstract/Summary

We consider the Dirichlet boundary-value problem for the Helmholtz equation, Au + x2u = 0, with Imx > 0. in an hrbitrary bounded or unbounded open set C c W. Assuming continuity of the solution up to the boundary and a bound on growth a infinity, that lu(x)l < Cexp (Slxl), for some C > 0 and S~< Imx, we prove that the homogeneous problem has only the trivial salution. With this resnlt we prove uniqueness results for direct and inverse problems of scattering by a bounded or infinite obstacle.

Item Type:Article
Refereed:Yes
Divisions:Faculty of Science > School of Mathematical, Physical and Computational Sciences > Department of Mathematics and Statistics
ID Code:32664
Publisher:IOP Publishing

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