Nonlinear diffusion equations and curvature conditions in metric measure spaces

The aim of this paper is to provide new characterizations of the curvature dimension condition in the context of metric measure spaces (X,d,m). On the geometric side, the authors' new approach takes into account suitable weighted action functionals which provide the natural modulus of K-convex...

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Bibliographic Details
Main Authors: Ambrosio, L, Mondino, A, Savaré, G
Format: Journal article
Published: American Mathematical Society 2020