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Sobolev Spaces in Mathematics I, II, III

  • Book
  • © 2009

Overview

Editors:
  1. Vladimir Maz'ya

    1. Ohio State University Dept. Mathematics, Columbus, USA

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  2. Victor Isakov

    1. Wichita State University Dept. Mathematics & Statistics, Wichita, USA

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  • 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 8-10)

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Keywords

  • Ginzburg - Landau model
  • Sobolev inequlaity
  • Sobolev space
  • asymptotic approximation
  • boundary value problem
  • embedding
  • inverse problems
  • optimal control
  • partial differential equation
  • sharp constant
  • spectral problem
  • wave propagation
  • partial differential equations

About this book

Sobolev spaces and inequalities are fundamental tools in the theory of partial differential equations, analysis, differential geometry, mathematical physics, etc. Introduced 70 years ago, they turned out to be extremely useful in many different settings and continue to attract the attention of new generations of mathematicians. Recent advantages in the theory of Sobolev spaces and in applications are presented by globally recognized specialists in topics covering Sobolev-type spaces of functions in metric spaces, various aspects of Sobolev-type inequalities, boundary value problems for differential operators, spectral problems, approximations, optimal control, important problems of mathematical physics, analysis, partial differential equations, geometry, etc.

The book is dedicated to the centenary of S.L. Sobolev and includes biographical articles supplied with the bibliography of Sobolev's works in the 1930s and archive photos of Sobolev previously unpublished in the English-language literature.

Editors and Affiliations

  • Ohio State University Dept. Mathematics, Columbus, USA

    Vladimir Maz'ya

  • Wichita State University Dept. Mathematics & Statistics, Wichita, USA

    Victor Isakov

Bibliographic Information

  • Book Title: Sobolev Spaces in Mathematics I, II, III

  • Editors: Vladimir Maz'ya, Victor Isakov

  • Series Title: International Mathematical Series

  • Publisher: Springer New York, NY

  • Copyright Information: Springer-Verlag New York 2009

  • Series ISSN: 1571-5485

  • Series E-ISSN: 1574-8944

  • Edition Number: 1

  • Number of Pages: 1194

  • Additional Information: Jointly published with Tamara Rozhkovskaya Publisher, Novosibirsk, Russia

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