书目名称 | Sobolev Spaces in Mathematics II | 副标题 | Applications in Anal | 编辑 | Vladimir Maz‘ya | 视频video | | 概述 | Presentation of new results on the latest topics of the theory Sobolev spaces, partial differential equations, analysis and mathematical physics.The authors and editors are world-known specialists, wo | 丛书名称 | International Mathematical Series | 图书封面 |  | 描述 | .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.. | 出版日期 | Book 2009 | 关键词 | Boundary value problem; Potential; Sobolev space; analysis; mathematical physics; partial differential eq | 版次 | 1 | doi | https://doi.org/10.1007/978-0-387-85650-6 | isbn_softcover | 978-1-4419-2758-3 | isbn_ebook | 978-0-387-85650-6Series ISSN 1571-5485 Series E-ISSN 1574-8944 | issn_series | 1571-5485 | copyright | Springer-Verlag New York 2009 |
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