Compactness of the embedding operators for rough domains
Gol'dshtein, Vladimir ; Ramm, Alexander G.
arXiv, 0008012 / Harvested from arXiv
Text on arXiv
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.
Publié le : 2000-08-03
Classification:  Mathematical Physics,  Mathematics - Analysis of PDEs,  Mathematics - Classical Analysis and ODEs,  Mathematics - Functional Analysis,  46E35, 30C60 
@article{0008012,
     author = {Gol'dshtein, Vladimir and Ramm, Alexander G.},
     title = {Compactness of the embedding operators for rough domains},
     journal = {arXiv},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0008012}
}

Gol'dshtein, Vladimir; Ramm, Alexander G. Compactness of the embedding operators for rough domains. arXiv, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/0008012/