Sobolev Spaces, Their Generalizations and Elliptic Problems in Smooth and Lipschitz Domains

This book, which is based on several courses of lectures given by the author at the Independent University of Moscow, is devoted to Sobolev—type spaces and boundary value problems for linear elliptic partial differential equations. Its main focus is on problems in non—smooth (Lipschitz) domains for strongly elliptic systems.

The author, who is a prominent expert in the theory of linear partial differential equations, spectral theory and pseudodifferential operators, has included his own ve...