ENGLISH

Sobolev Spaces in Mathematics II: Applications in Analysis and Partial Differential Equations: BD II

By Vladimir Maz'ya

Book information

Publisher
Springer
Year
2008
ISBN
0387856498, 9780387856490
LCC
QA323 .S635 2009
Open Library ID
OL24022211M
Language
english
Format
PDF
Filesize
7 MB (7496385 bytes)
Series
International Mathematical
Edition
1
Pages
404\404
Time added
2011-01-06 10:13:16

Description

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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