Elliptic Boundary Value Problems on Corner Domains: Smoothness and Asymptotics of Solutions

ISBN-13: 9783540501695 / Angielski / Miękka / 1988 / 264 str.

Monique Dauge

Opis

Focuses on a large class of variational elliptic problems with mixed boundary conditions on domains with various corner singularities, edges, polyhedral vertices, cracks, and slits. This research monograph characterizes Fredholm and semi-Fredholm properties of induced operators in a natural functional framework.

Spis treści

Preliminaries.- Fredholm and semi-Fredholm results.- Proofs.- Two-dimensional domains.- Singularities along the edges.- Laplace operator.- Variational boundary value problems on smooth domains.- Variational boundary value problems on polyhedral domains.