Sobolev Spaces in Mathematics III: Applications in Mathematical Physics

Victor Isakov

ISBN 10: 144192759X / ISBN 13: 9781441927590

Published by Springer New York, 2008

About this Item

368 pages. 9.00x6.00x0.83 inches. In Stock.

Seller Inventory # x-144192759X

Bibliographic Details

• Title: Sobolev Spaces in Mathematics III: Applications in Mathematical Physics
• Publisher: Springer New York
• Publication Date: 2008
• Language: English
• ISBN 10: 144192759X
• ISBN 13: 9781441927590
• Binding: Paperback
• Condition: Brand New
• Weight: 0.63 kilograms

About this title

Synopsis

This volume, marking the centenary of S.L. Sobolev’s birth, presents the latest the results on some important problems of mathematical physics. The book contains two short biographical articles and unique archive photos of S. Sobolev.

From the Back Cover

The mathematical works of S.L.Sobolev were strongly motivated by particular problems coming from applications. In his celebrated book Applications of Functional Analysis in Mathematical Physics, 1950 and other works, S.Sobolev introduced general methods that turned out to be very influential in the study of mathematical physics in the second half of the XXth century. This volume, dedicated to the centenary of S.L. Sobolev, presents the latest results on some important problems of mathematical physics describing, in particular, phenomena of superconductivity with random fluctuations, wave propagation, perforated domains and bodies with defects of different types, spectral asymptotics for Dirac energy, Lam\'e system with residual stress, optimal control problems for partial differential equations and inverse problems admitting numerous interpretations. Methods of modern functional analysis are essentially used in the investigation of these problems.

Contributors include: Mikhail Belishev (Russia); Andrei Fursikov (Russia), Max Gunzburger (USA), and Janet Peterson (USA); Victor Isakov (USA) and Nanhee Kim (USA); Victor Ivrii (Canada); Irena Lasiecka (USA) and Roberto Triggiani (USA); Vladimir Maz'ya (USA-UK-Sweden) and Alexander Movchan (UK); Michael Taylor (USA)