书目名称 | Sobolev Spaces | 副标题 | with Applications to | 编辑 | Vladimir Maz‘ya | 视频video | | 概述 | New, expanded and revised edition of Sobolev Spaces, originally published in the Springer Series in Soviet Mathematics (1985) Is enhanced by many recent results New applications to linear and nonlinea | 丛书名称 | Grundlehren der mathematischen Wissenschaften | 图书封面 |  | 描述 | Sobolev spaces play an outstanding role in modern analysis, in particular, in the theory of partial differential equations and its applications in mathematical physics. They form an indispensable tool in approximation theory, spectral theory, differential geometry etc. The theory of these spaces is of interest in itself being a beautiful domain of mathematics. The present volume includes basics on Sobolev spaces, approximation and extension theorems, embedding and compactness theorems, their relations with isoperimetric and isocapacitary inequalities, capacities with applications to spectral theory of elliptic differential operators as well as pointwise inequalities for derivatives. The selection of topics is mainly influenced by the author’s involvement in their study, a considerable part of the text is a report on his work in the field. Part of this volume first appeared in German as three booklets of Teubner-Texte zur Mathematik (1979, 1980). In the Springer volume “Sobolev Spaces”, published in English in 1985, the material was expanded and revised. The present 2nd edition is enhanced by many recent results and it includes new applications to linear and nonlinear partial differe | 出版日期 | Book 2011Latest edition | 关键词 | 46E35, 42B37, 26D10; Sobolev spaces; general domains; integral inequalities; isoperimetric and isocapaci | 版次 | 2 | doi | https://doi.org/10.1007/978-3-642-15564-2 | isbn_softcover | 978-3-662-51729-1 | isbn_ebook | 978-3-642-15564-2Series ISSN 0072-7830 Series E-ISSN 2196-9701 | issn_series | 0072-7830 | copyright | Springer-Verlag Berlin Heidelberg 2011 |
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