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Science/Engineering Sobolev Spaces in Mathematics II: Applications in Analysis and Partial Differential Equations (repost)

Posted on 2010-03-16




Name:Science/Engineering Sobolev Spaces in Mathematics II: Applications in Analysis and Partial Differential Equations (repost)
ASIN/ISBN:0387856498
Language:English
File size:5.8 Mb
Publish Date: 2008
ISBN: 0387856498
Pages: 390 pages
File Type: PDF
File Size: 5,8 MB
Other Info: Springer
   Science/Engineering Sobolev Spaces in Mathematics II: Applications in Analysis and Partial Differential Equations (repost)



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Vladimir Maz'ya, "Sobolev Spaces in Mathematics II: Applications in Analysis and Partial Differential Equations"

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.

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