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V. V. Lozhechko, Yu. V. Shestopalov

Direct and inverse problems of the wave diffraction by screens with arbitrary finite inhomogeneities

We consider direct and inverse diffraction problems for a class of domains with noncompact boundaries that arise in mathematical models of the wave scattering by planar screens with arbitrary finite inhomogeneities. We prove the unique solvability of the direct problems in the Sobolev spaces. The inverse problems are formulated and uniqueness of reconstructing the permittivity and the shape of the scatterer from the scattering data is proved.

Journal of Inverse and Ill-posed Problems, Walter de Gruyter

Print ISSN: 0928-0219
Volume: 11, 12/2003
Pages: 643 - 654

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