Compactness of the embedding operators for rough domains
classification
🧮 math-ph
math.APmath.CAmath.FAmath.MP
keywords
domainsembeddingroughapplicationsboundedclassescompactcompactness
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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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