Editors:
- 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 9)
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Table of contents (15 chapters)
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Front Matter
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Back Matter
About this book
Sobolev spaces become the established and universal language of partial differential equations and mathematical analysis. Among a huge variety of problems where Sobolev spaces are used, the following important topics are the focus of this volume: boundary value problems in domains with singularities, higher order partial differential equations, local polynomial approximations, inequalities in Sobolev-Lorentz spaces, function spaces in cellular domains, the spectrum of a Schrodinger operator with negative potential and other spectral problems, criteria for the complete integration of systems of differential equations with applications to differential geometry, some aspects of differential forms on Riemannian manifolds related to Sobolev inequalities, Brownian motion on a Cartan-Hadamard manifold, etc.
Two short biographical articles on the works of Sobolev in the 1930s and the foundation of Akademgorodok in Siberia, supplied with unique archive photos of S. Sobolev are included.
Editors and Affiliations
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Department of Mathematics, Ohio State University, Columbus, USA
Vladimir Maz'ya
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Department of Mathematical Sciences, University of Liverpool, Liverpool, UK
Vladimir Maz'ya
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Department of Mathematics, Linköping University, Linköping, Sweden
Vladimir Maz'ya
Bibliographic Information
Book Title: Sobolev Spaces in Mathematics II
Book Subtitle: Applications in Analysis and Partial Differential Equations
Editors: Vladimir Maz'ya
Series Title: International Mathematical Series
DOI: https://doi.org/10.1007/978-0-387-85650-6
Publisher: Springer New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag New York 2009
Hardcover ISBN: 978-0-387-85649-0Published: 17 October 2008
Softcover ISBN: 978-1-4419-2758-3Published: 19 November 2010
eBook ISBN: 978-0-387-85650-6Published: 26 November 2008
Series ISSN: 1571-5485
Series E-ISSN: 1574-8944
Edition Number: 1
Number of Pages: XXX, 388
Additional Information: Jointly published with Tamara Rozhkovskaya Publisher, Novosibirsk, Russia
Topics: Analysis, Theoretical, Mathematical and Computational Physics, Partial Differential Equations, Functional Analysis, Optimization, Numerical Analysis