Partial Differential Equations IX: Elliptic Boundary Value Problems

M. S. Agranovich (auth.), M. S. Agranovich, Yu. V. Egorov, M. A. Shubin (eds.)9780387570440, 0387570446

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.

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Table of contents :
Front Matter….Pages i-vii
Elliptic Boundary Problems….Pages 1-144
Boundary Value Problems for Elliptic Pseudodifferential Operators….Pages 145-215
Elliptic Boundary Value Problems in Domains with Piecewise Smooth Boundary….Pages 217-273
Back Matter….Pages 275-284