2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/56605New 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.Mathematical PhysicsAnalysis of PDEsClassical Analysis and ODEsFunctional Analysis46E35, 30C60text