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Sobolev Spaces, Their Generalizations and Elliptic Problems in Smooth and Lipschitz Domains

Sobolev Spaces, Their Generalizations and Elliptic Problems in Smooth and Lipschitz Domains
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Field name Details
Dewey Class 515.353
Title Sobolev Spaces, Their Generalizations and Elliptic Problems in Smooth and Lipschitz Domains ([EBook]) / by Mikhail S. Agranovich.
Author Agranovich, Mikhail S.
Other name(s) SpringerLink (Online service)
Publication Cham : : Springer International Publishing : : Imprint: Springer, , 2015.
Physical Details XIII, 331 p. : online resource.
Series Springer monographs in mathematics 1439-7382
ISBN 9783319146485
Summary Note 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.:
Contents note 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.
System details note Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site http://dx.doi.org/10.1007/978-3-319-14648-5
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