04675nam 22008295 450 991030026030332120200701072604.03-319-14648-310.1007/978-3-319-14648-5(CKB)3710000000416778(SSID)ssj0001501725(PQKBManifestationID)11921203(PQKBTitleCode)TC0001501725(PQKBWorkID)11446222(PQKB)10265496(DE-He213)978-3-319-14648-5(MiAaPQ)EBC5579135(MiAaPQ)EBC6314656(Au-PeEL)EBL5579135(OCoLC)1083469652(PPN)186030177(EXLCZ)99371000000041677820150506d2015 u| 0engurnn|008mamaatxtccrSobolev Spaces, Their Generalizations and Elliptic Problems in Smooth and Lipschitz Domains /by Mikhail S. Agranovich1st ed. 2015.Cham :Springer International Publishing :Imprint: Springer,2015.1 online resource (XIII, 331 p.) Springer Monographs in Mathematics,1439-7382Bibliographic Level Mode of Issuance: Monograph3-319-14647-5 Includes bibliographical references and index.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.Springer Monographs in Mathematics,1439-7382Partial differential equationsFunctional analysisOperator theoryPotential theory (Mathematics)Integral equationsMathematical physicsPartial Differential Equationshttps://scigraph.springernature.com/ontologies/product-market-codes/M12155Functional Analysishttps://scigraph.springernature.com/ontologies/product-market-codes/M12066Operator Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/M12139Potential Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/M12163Integral Equationshttps://scigraph.springernature.com/ontologies/product-market-codes/M12090Mathematical Physicshttps://scigraph.springernature.com/ontologies/product-market-codes/M35000Partial differential equations.Functional analysis.Operator theory.Potential theory (Mathematics).Integral equations.Mathematical physics.Partial Differential Equations.Functional Analysis.Operator Theory.Potential Theory.Integral Equations.Mathematical Physics.515.782Agranovich Mikhail Sauthttp://id.loc.gov/vocabulary/relators/aut536378MiAaPQMiAaPQMiAaPQBOOK9910300260303321Sobolevskie prostranstva, ikh obobshcheniya i ellipticheskie zadachi v oblastyakh s gladkoj i lipshitsevoj granitsej2440539UNINA