International Mathematical Series

Sobolev Spaces in Mathematics III

Applications in Mathematical Physics

Editors: Isakov, Victor (Ed.)

  • Presentation of new results on the latest topics of the theory of Sobolev spaces, partial differential equations, analysis and mathematical physics
  • The authors and editors are world-renowned 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 yet been published in the English-language literature
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eBook $199.00
price for USA (gross)
  • ISBN 978-0-387-85652-0
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  • Immediate eBook download after purchase
Hardcover $259.00
price for USA
  • ISBN 978-0-387-85651-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $259.00
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  • ISBN 978-1-4419-2759-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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)

Table of contents (7 chapters)

  • Geometrization of Rings as a Method for Solving Inverse Problems

    Belishev, Mikhail

    Pages 5-24

  • The Ginzburg-Landau Equations for Superconductivity with Random Fluctuations

    Fursikov, Andrei (et al.)

    Pages 25-133

  • Carleman Estimates with Second Large Parameter for Second Order Operators

    Isakov, Victor (et al.)

    Pages 135-159

  • Sharp Spectral Asymptotics for Dirac Energy

    Ivrii, Victor

    Pages 161-185

  • Linear Hyperbolic and Petrowski Type PDEs with Continuous Boundary Control → Boundary Observation Open Loop Map: Implication on Nonlinear Boundary Stabilization with Optimal Decay Rates

    Lasiecka, Irena (et al.)

    Pages 187-276

Buy this book

eBook $199.00
price for USA (gross)
  • ISBN 978-0-387-85652-0
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $259.00
price for USA
  • ISBN 978-0-387-85651-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $259.00
price for USA
  • ISBN 978-1-4419-2759-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Sobolev Spaces in Mathematics III
Book Subtitle
Applications in Mathematical Physics
Editors
  • Victor Isakov
Series Title
International Mathematical Series
Series Volume
10
Copyright
2009
Publisher
Springer-Verlag New York
Copyright Holder
Springer-Verlag New York
eBook ISBN
978-0-387-85652-0
DOI
10.1007/978-0-387-85652-0
Hardcover ISBN
978-0-387-85651-3
Softcover ISBN
978-1-4419-2759-0
Series ISSN
1571-5485
Edition Number
1
Number of Pages
XXXII, 336
Additional Information
Jointly published with Tamara Rozhkovskaya Publisher, Novosibirsk, Russia
Topics