Compactness of the embedding operators for rough domains

Abstract

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.

Cited by in corpus (3)

• Numerical Solution of Obstacle Scattering Problems
• The Hölder-Poincaré Duality for $L_{q,p}$-cohomology
• Embedding operators and boundary-value problems for rough domains