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Lecture notes on gradient flows and optimal transport

TitleLecture notes on gradient flows and optimal transport
Publication TypeBook Chapter
Year of Publication2014
AuthorsDaneri, S, Savarè, G
Series VolumeLondon Mathematical Society Lecture Note Series;volume 413; pages 100-144;
PublisherCambridge University Press

We present a short overview on the strongest variational formulation for gradient flows of geodesically λ-convex functionals in metric spaces, with applications to diffusion equations in Wasserstein spaces of probability measures. These notes are based on a series of lectures given by the second author for the Summer School "Optimal transportation: Theory and applications" in Grenoble during the week of June 22-26, 2009.


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