Overview
- Presentation of new results on the latest topics of the theory Sobolev spaces, partial differential equations, analysis and mathematical physics
- The authors and editors are world-known specialists, working in different countries
- Publication on the centenary of Sobolev’s birth with two short biographical articles and unique archive photos of S. Sobolev which have not been published earlier in the English-language literature
- Includes supplementary material: sn.pub/extras
Part of the book series: International Mathematical Series (IMAT, volume 10)
Access this book
Tax calculation will be finalised at checkout
Other ways to access
Table of contents (7 chapters)
-
Front Matter
-
Back Matter
Keywords
About this book
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)
Editors and Affiliations
Bibliographic Information
Book Title: Sobolev Spaces in Mathematics III
Book Subtitle: Applications in Mathematical Physics
Editors: Victor Isakov
Series Title: International Mathematical Series
DOI: https://doi.org/10.1007/978-0-387-85652-0
Publisher: Springer New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag New York 2009
Hardcover ISBN: 978-0-387-85651-3Published: 21 November 2008
Softcover ISBN: 978-1-4419-2759-0Published: 19 November 2010
eBook ISBN: 978-0-387-85652-0Published: 02 December 2008
Series ISSN: 1571-5485
Series E-ISSN: 1574-8944
Edition Number: 1
Number of Pages: XXXII, 336
Additional Information: Jointly published with Tamara Rozhkovskaya Publisher, Novosibirsk, Russia
Topics: Analysis, Real Functions, Partial Differential Equations, Functional Analysis, Optimization, Numerical Analysis