表中的内容
Notation.- Notation.- Gradient Flow in Metric Spaces.- Curves and Gradients in Metric Spaces.- Existence of Curves of Maximal Slope and their Variational Approximation.- Proofs of the Convergence Theorems.- Uniqueness, Generation of Contraction Semigroups, Error Estimates.- Gradient Flow in the Space of Probability Measures.- Preliminary Results on Measure Theory.- The Optimal Transportation Problem.- The Wasserstein Distance and its Behaviour along Geodesics.- Absolutely Continuous Curves in p(X) and the Continuity Equation.- Convex Functionals in p(X).- Metric Slope and Subdifferential Calculus in (X).- Gradient Flows and Curves of Maximal Slope in p(X).
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语言 英语 ● 格式 PDF ● 网页 334 ● ISBN 9783764387228 ● 文件大小 2.9 MB ● 出版者 Springer Basel ● 市 Basel ● 国家 CH ● 发布时间 2008 ● 版 2 ● 下载 24 个月 ● 货币 EUR ● ID 2235184 ● 复制保护 社会DRM