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

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Sobolev Spaces, Their Generalizations and Elliptic Problems in Smooth and Lipschitz Domains/ by Mikhail S. Agranovich.
作者:	Agranovich, Mikhail S.
面頁冊數:	XIII, 331 p.online resource. :
Contained By:	Springer Nature eBook
標題:	Partial differential equations. -
電子資源:	https://doi.org/10.1007/978-3-319-14648-5
ISBN:	9783319146485

Sobolev Spaces, Their Generalizations and Elliptic Problems in Smooth and Lipschitz Domains
Agranovich, Mikhail S.

Sobolev Spaces, Their Generalizations and Elliptic Problems in Smooth and Lipschitz Domains[electronic resource] /by Mikhail S. Agranovich. - 1st ed. 2015. - XIII, 331 p.online resource. - Springer Monographs in Mathematics,1439-7382. - Springer Monographs in Mathematics,.

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.

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.

ISBN: 9783319146485

Standard No.: 10.1007/978-3-319-14648-5doiSubjects--Topical Terms:

1102982
Partial differential equations.

LC Class. No.: QA370-380

Dewey Class. No.: 515.353

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