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Around the Research of Vladimir Maz'ya I - III: Function Spaces, Partial Differential Equations, Analysis and Applications

Around the Research of Vladimir Maz'ya I - III: Function Spaces, Partial Differential Equations, Analysis and Applications

Hardcover

Series: International Mathematical

General Mathematics

Currently unavailable to order

ISBN10: 1441913467
ISBN13: 9781441913463
Publisher: Springer Nature
Published: Jan 1 2010
Pages: 1200
Language: English

Research articles and surveys from world-recognized mathematicians cover large areas in Analysis where the contributions of Prof. Maz'ya are fundamental, influential, and/or pioneering. Among more than 25 monographs and 450 research papers by V. Maz'ya, one can find deep results predetermining the further development of very diverse topics, which is reflected in the collected papers. Recent advantages in the theory of Sobolev spaces are presented. Hardy-Sobolev-Maz'ya inequalities, Maz'ya isocapacitary inequalities, isoperimetric inequalities, sharp constants, extension operators are generalized in various settings. Important PDEs are studied by methods of homogenization, multiscale expansion, matched asymptotic expansions, etc. Various problems in Analysis, like Beurling's minimum principle, inverse hyperbolic problems, degenerate oblique derivative problems and many other problems are treated.

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General Mathematics