Sobolev spaces, their generalizations and elliptic problems in smooth and Lipschitz domains [electronic resource] / Mikhail S. Agranovich.
Agranovich, M. S., author.
2015
QA323
Available Online

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Title Sobolev spaces, their generalizations and elliptic problems in smooth and Lipschitz domains [electronic resource] / Mikhail S. Agranovich.
Author Agranovich, M. S., author.
Uniform Title Sobolevskie prostranstva, ikh obobshcheniya i elliticheskie zadachi v oblastyakh s gladkoj i lipshitsevoj granitsej. English
ISBN 9783319146485 electronic book
3319146483 electronic book
9783319146478
DOI https://doi.org/10.1007/978-3-319-14648-5
Published Cham : Springer, 2015.
Language English
Description 1 online resource (xiii, 331 pages).
Item Number 10.1007/978-3-319-14648-5 doi
Call Number QA323
Dewey Decimal Classification 515/.782
Summary 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 very recent findings in the present book. The book is well suited as a modern graduate textbook, utilizing a thorough and clear format that strikes a good balance between the choice of material and the style of exposition. It can be used both as an introduction to recent advances in elliptic equations and boundary value problems, and as a valuable survey and reference work. It also includes a good deal of new and extremely useful material not available in standard textbooks to date. Graduate and post-graduate students, as well as specialists working in the fields of partial differential equations, functional analysis, operator theory, and mathematical physics will find this book particularly valuable.
Bibliography, etc. Note Includes bibliographical references and index.
Access Note Access limited to authorized users.
Source of Description Online resource; title from PDF title page (SpringerLink, viewed May 15, 2015).
Series Springer monographs in mathematics.
Available in Other Form Print version: 9783319146478
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Preface
Preliminaries
1 The Spaces Hs.
2 Elliptic Equations and Elliptic Boundary Value Problems
3 The Spaces Hs and Second-Order Strongly Elliptic Systems in Lipschitz Domains
4 More General Spaces and Their Applications
References
Index.

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