This EMS volume gives an overview of the modern theory of elliptic boundary value problems. The contribution by M.S. Agranovich is devoted to differential elliptic boundary problems, mainly in smooth bounded domains, and their spectral properties. This article continues his contribution to EMS 63.
The contribution by A. Brenner and E. Shargorodsky concerns the theory of boundary value problems for elliptic pseudodifferential operators. Problems both with and without the transmission property, as well as parameter-dependent problems are considered.
The article by B. Plamenevskij deals with general differential elliptic boundary value problems in domains with singularities.

Zusammenfassung

"... Overall, it is a well written book, that contains comprehensive surveys with instructive examples, completed results and shows some directions for the generalization of the other results where it is possible. The book is warmly recommended to specialists in PDE-s, lecturers, physicists and also to students with the basic knowledge in PDE-s."

Jenö Hegedüs, Acta Scientiarum Methematicarum 2002, Vol. 68, pp. 1000-1004

Inhalt
Elliptic Boundary Problems.- Boundary Value Problems for Elliptic Pseudodifferential Operators.- Elliptic Boundary Value Problems in Domains with Piecewise Smooth Boundary.