书目名称 | Nonlinear PDE’s and Applications | 副标题 | C.I.M.E. Summer Scho | 编辑 | Stefano Bianchini,Eric A. Carlen,Cédric Villani | 视频video | | 概述 | A broad overview on some deep results and new exciting developments.Contribution of leading experts.Accessible introduction to new theories and results | 丛书名称 | Lecture Notes in Mathematics | 图书封面 |  | 描述 | This volume collects the notes of the CIME course "Nonlinear PDE’s and applications" held in Cetraro (Italy) on June 23–28, 2008. It consists of four series of lectures, delivered by Stefano Bianchini (SISSA, Trieste), Eric A. Carlen (Rutgers University), Alexander Mielke (WIAS, Berlin), and Cédric Villani (Ecole Normale Superieure de Lyon).They presented a broad overview of far-reaching findings and exciting new developments concerning, in particular, optimal transport theory, nonlinear evolution equations, functional inequalities, and differential geometry. A sampling of the main topics considered here includes optimal transport, Hamilton-Jacobi equations, Riemannian geometry, and their links with sharp geometric/functional inequalities, variational methods for studying nonlinear evolution equations and their scaling properties, and the metric/energetic theory of gradient flows and of rate-independent evolution problems.The book explores the fundamental connections between all of these topics and points to new research directions in contributions by leading experts in these fields. | 出版日期 | Book 2011 | 关键词 | 35-XX, 49-XX, 46-XX, 53-XX; Functional inequalities; Nonlinear evolution equations; Optimal transport; R | 版次 | 1 | doi | https://doi.org/10.1007/978-3-642-21861-3 | isbn_softcover | 978-3-642-21718-0 | isbn_ebook | 978-3-642-21861-3Series ISSN 0075-8434 Series E-ISSN 1617-9692 | issn_series | 0075-8434 | copyright | Springer-Verlag Berlin Heidelberg 2011 |
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