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Sobolev spaces in mathematics. II: Applications in analysis and partial differential equations
Linköping University, Department of Mathematics. Linköping University, The Institute of Technology.
2009 (English)Collection (editor) (Other (popular science, discussion, etc.))
Abstract [en]

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 in 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 integrability 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 1930's and foundation of Akademgorodok in Siberia, supplied with unique archive photos of S. Sobolev are included.

Place, publisher, year, edition, pages
Springer , 2009. , 388 p.
, International Mathematical Series (New York)
National Category
URN: urn:nbn:se:liu:diva-52040ISBN: 978-0-387-85649-0OAI: diva2:278947
Available from: 2009-11-30 Created: 2009-11-30 Last updated: 2009-12-03

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Maz'ya, Vladimir
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Department of MathematicsThe Institute of Technology

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ReferencesLink to record
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