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Beschreibung
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.
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.
Zusammenfassung

Comprehensive textbook on current theory of Sobolev spaces

Contains new results

One of the few books on the topic suitable for students

Includes supplementary material: [...]

Inhaltsverzeichnis

Preface.- Preliminaries.- 1 The Spaces

H
s.

.- 2 Elliptic Equations and Elliptic Boundary Value Problems.- 3 The Spaces

H
s


and Second-Order Strongly Elliptic Systems in Lipschitz Domains.- 4 More General Spaces and Their Applications.- References.- Index.

Details
Erscheinungsjahr: 2016
Fachbereich: Analysis
Genre: Mathematik, Medizin, Naturwissenschaften, Technik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: Springer Monographs in Mathematics
Inhalt: xiii
331 S.
ISBN-13: 9783319351834
ISBN-10: 3319351834
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Agranovich, Mikhail S.
Auflage: Softcover reprint of the original 1st edition 2015
Hersteller: Springer
Palgrave Macmillan
Springer International Publishing AG
Springer Monographs in Mathematics
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 235 x 155 x 19 mm
Von/Mit: Mikhail S. Agranovich
Erscheinungsdatum: 09.10.2016
Gewicht: 0,528 kg
Artikel-ID: 102876641

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