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Sobolev Spaces, Their Generalizations and Elliptic Problems in Smooth and Lipschitz Domains (Springer Monographs in Mathematics)

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en Limba Engleză Hardback – 19 May 2015
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.
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Specificații

ISBN-13: 9783319146478
ISBN-10: 3319146475
Pagini: 330
Ilustrații: Bibliographie
Dimensiuni: 155 x 235 x 25 mm
Greutate: 0.66 kg
Ediția: 2015
Editura: Springer
Colecția Springer
Seria Springer Monographs in Mathematics

Locul publicării: Cham, Switzerland

Public țintă

Graduate

Cuprins

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.

Recenzii

“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.” (Günter 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.” (Vicenţiu D. Rădulescu, zbMATH 1322.46002, 2015)

Textul de pe ultima copertă

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.

Caracteristici

Comprehensive textbook on current theory of Sobolev spaces
Contains new results
One of the few books on the topic suitable for students