【预订】Nonlinear Diffusion Equations and Curvature Conditions i
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2020-03-30
Product Details 基本信息 ISBN-13 书号 9781470439132 Author 作者 Luigi Ambrosio |Andrea Mondino |Giuseppe Savare Format 版本 平装-胶订 Pages Number 页数 121页 Publisher 出版社 American Mathematical Society (AMS) Publication Date 出版日期 2020-03-30 Language 语种 其它（含多语） Book Contents 内容简介 The aim of this paper is to provide new characterizations of the curvature dimension condition in the context of metric measure spaces $(X,\mathsf d,\mathfrak m)$. On the geometric side, the authors’ new approach takes into account suitable weighted action functionals which provide the natural modulus of $K$-convexity when one investigates the convexity properties of $N$-dimensional entropies. On the side of diffusion semigroups and evolution variational inequalities, the authors’ new approach uses the nonlinear diffusion semigroup induced by the $N$-dimensional entropy, in place of the heat flow. Un
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