Compactness of the embedding operators for rough domains

Details Compactness of the embedding operators for rough domains Compactness of the embedding operators for rough domains

2000-08-03

arxiv.org/abs/math-ph/0008012v1

Physics

Mathematical Physics

Scientific paper

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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