Compactness of the embedding operators for rough domains
Mathematical Physics
2007-05-23 v1 Analysis of PDEs
Classical Analysis and ODEs
Functional Analysis
math.MP
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.
Cite
@article{arxiv.math-ph/0008012,
title = {Compactness of the embedding operators for rough domains},
author = {Vladimir Gol'dshtein and Alexander G. Ramm},
journal= {arXiv preprint arXiv:math-ph/0008012},
year = {2007}
}