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 8)
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Table of contents (13 chapters)
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Front Matter
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Back Matter
About this book
This volume is dedicated to the centenary of the outstanding mathematician of the XXth century Sergey Sobolev and, in a sense, to his celebrated work On a theorem of functional analysis published in 1938, exactly 70 years ago, where the original Sobolev inequality was proved. This double event is a good case to gather experts for presenting the latest results on the study of Sobolev inequalities which play a fundamental role in analysis, the theory of partial differential equations, mathematical physics, and differential geometry. In particular, the following topics are discussed: Sobolev type inequalities on manifolds and metric measure spaces, traces, inequalities with weights, unfamiliar settings of Sobolev type inequalities, Sobolev mappings between manifolds and vector spaces, properties of maximal functions in Sobolev spaces, the sharpness of constants in inequalities, etc. The volume opens with a nice survey reminiscence My Love Affair with the Sobolev Inequality by David R. Adams.
Contributors include: David R. Adams (USA); Daniel Aalto (Finland) and Juha Kinnunen (Finland); Sergey Bobkov (USA) and Friedrich Götze (Germany); Andrea Cianchi (Italy); Donatella Danielli (USA), Nicola Garofalo (USA), and Nguyen Cong Phuc (USA); David E. Edmunds (UK) and W. Desmond Evans (UK); Piotr Hajlasz (USA); Vladimir Maz'ya (USA-UK-Sweden) and Tatyana Shaposhnikova USA-Sweden); Luboš Pick (Czech Republic); Yehuda Pinchover (Israel) and Kyril Tintarev (Sweden); Laurent Saloff-Coste (USA); Nageswari Shanmugalingam (USA).
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 I
Book Subtitle: Sobolev Type Inequalities
Editors: Vladimir Maz’ya
Series Title: International Mathematical Series
DOI: https://doi.org/10.1007/978-0-387-85648-3
Publisher: Springer New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag New York 2009
Hardcover ISBN: 978-0-387-85647-6Published: 21 November 2008
Softcover ISBN: 978-1-4419-2757-6Published: 23 November 2010
eBook ISBN: 978-0-387-85648-3Published: 02 December 2008
Series ISSN: 1571-5485
Series E-ISSN: 1574-8944
Edition Number: 1
Number of Pages: XXX, 378
Additional Information: Jointly published with Tamara Rozhkovskaya Publisher, Novosibirsk, Russia
Topics: Analysis, Real Functions, Partial Differential Equations, Functional Analysis, Optimization, Numerical Analysis