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

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Mikhail S. Agranovich

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

Mikhail S. Agranovich

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English

Springer International Publishing AG
09 October 2016

Calculus & mathematical analysis; Functional analysis & transforms; Differential calculus & equations; Integral calculus & equations; Mathematical physics

Series: Springer Monographs in Mathematics

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.

By: Mikhail S. Agranovich
Imprint: Springer International Publishing AG
Country of Publication: Switzerland
Edition: Softcover reprint of the original 1st ed. 2015
Dimensions: Height: 235mm, Width: 155mm, Spine: 18mm
Weight: 534g
ISBN: 9783319351834
ISBN 10: 3319351834
Series: Springer Monographs in Mathematics
Pages: 331
Publication Date: 09 October 2016
Audience: Professional and scholarly , Undergraduate
Format: Paperback
Publisher's Status: Active

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.

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

This very interesting book presents a systematic study of elliptic problems in smooth and Lipschitz domains. ... This modern graduate textbook is certainly an excellent starting point for any kind of further investigations. It is useful for specialists and researchers working in the fields of partial differential equations and mathematical physics. This book is also suitable as an introduction to the themes described above. (Gunter Berger, Mathematical Reviews, April, 2016) This book should be very useful for all mathematicians and mathematical physicists who want to learn the powerful techniques related to the properties of Sobolev spaces. It is also addressed to graduate students and young researchers interested in new ideas linking all the subjects involved. (Vicentiu D. Radulescu, zbMATH 1322.46002, 2015)