© 1997

Partial Differential Equations IX

Elliptic Boundary Value Problems

  • Editors
  • M. S. Agranovich
  • Yu. V. Egorov
  • M. A. Shubin

Part of the Encyclopaedia of Mathematical Sciences book series (EMS, volume 79)

Table of contents

  1. Front Matter
    Pages i-vii
  2. M. S. Agranovich
    Pages 1-144
  3. A. V. Brenner, E. M. Shargorodsky
    Pages 145-215
  4. Back Matter
    Pages 275-284

About this book


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.


Asymptotik Elliptic boundary problems Elliptische Randwertaufgaben Fredholmeigenschaft Operatoren auf Mannigfaltigkeiten asymptotics edges elliptic boundary value problems elliptic realizations fredholm property operators om manifolds pseudodif

Bibliographic information

  • Book Title Partial Differential Equations IX
  • Book Subtitle Elliptic Boundary Value Problems
  • Editors M.S. Agranovich
    Yuri Egorov
    M.A. Shubin
  • Series Title Encyclopaedia of Mathematical Sciences
  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 1997
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Hardcover ISBN 978-3-540-57044-8
  • Softcover ISBN 978-3-642-08169-9
  • eBook ISBN 978-3-662-06721-5
  • Series ISSN 0938-0396
  • Edition Number 1
  • Number of Pages VII, 284
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Additional Information Original Russian edition published by VINITI
  • Topics Analysis
    Theoretical, Mathematical and Computational Physics
  • Buy this book on publisher's site
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"... 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