| 書(shū)目名稱(chēng) | Sobolev Spaces in Mathematics I | | 副標(biāo)題 | Sobolev Type Inequal | | 編輯 | Vladimir Maz’ya | | 視頻video | http://file.papertrans.cn/870/869248/869248.mp4 | | 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 | | 叢書(shū)名稱(chēng) | International Mathematical Series | | 圖書(shū)封面 |  | | 描述 | .This volume is dedicated to the centenary of the outstanding mathematician of the XXth century Sergey Sobolev and, in a sense, to his celebrated work On a theorem of functional analysis published in 1938, exactly 70 years ago, where the original Sobolev inequality was proved. This double event is a good case to gather experts for presenting the latest results on the study of Sobolev inequalities which play a fundamental role in analysis, the theory of partial differential equations, mathematical physics, and differential geometry. In particular, the following topics are discussed: Sobolev type inequalities on manifolds and metric measure spaces, traces, inequalities with weights, unfamiliar settings of Sobolev type inequalities, Sobolev mappings between manifolds and vector spaces, properties of maximal functions in Sobolev spaces, the sharpness of constants in inequalities, etc. The volume opens with a nice survey reminiscence .My Love Affair with the Sobolev Inequality. by David R. Adams....Contributors include:. David R. Adams (USA); Daniel Aalto (Finland) and Juha Kinnunen (Finland); Sergey Bobkov (USA) and Friedrich G?tze (Germany); Andrea Cianchi (Italy); Donatella Danielli | | 出版日期 | Book 2009 | | 關(guān)鍵詞 | Sobolev inequlaity; Sobolev inequality; Sobolev space; embedding; functional analysis; partial different | | 版次 | 1 | | doi | https://doi.org/10.1007/978-0-387-85648-3 | | isbn_softcover | 978-1-4419-2757-6 | | isbn_ebook | 978-0-387-85648-3Series ISSN 1571-5485 Series E-ISSN 1574-8944 | | issn_series | 1571-5485 | | copyright | Springer-Verlag New York 2009 |
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