Compactness of the embedding operators for rough domains

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New classes of non-smooth bounded domains D, for which the embedding operator from H^1(D) into L^2(D) is compact are introduced. Examples are given and applications to scattering by rough obstacles are mentioned.

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Mathematical Physics, Analysis of PDEs, Classical Analysis and ODEs, Functional Analysis, 46E35, 30C60

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http://salesiana.dossiersoluciones.com/handle/123456789/56605

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math-ph/0008012
 http://arxiv.org/abs/math-ph/0008012

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arXiv