Sobolev spaces, their generalizations, and elliptic problems in smooth and Lipschitz domains
著者
書誌事項
Sobolev spaces, their generalizations, and elliptic problems in smooth and Lipschitz domains
（Springer monographs in mathematics）
Springer, c2015
- タイトル別名
-
Sobolevskie prostranstva, ikh obobshcheniya i elliticheskie zadachi v oblastyakh s gladkoj i lipshitsevoj granitsej
大学図書館所蔵 全19件
注記
"Russian original version published as Sobolevskie prostransva, ikh obobshcheniya i ellipticheskie zadachi v oblastyakh s gladkoj i lipshitsevoj granitsej, Moscow Center for Continuous Mathematical Education 2013"--T.p. verso
Includes bibliographical references (p. 313-328) and index
内容説明・目次
内容説明
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.
目次
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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