Title | Lecture notes on gradient flows and optimal transport |
Publication Type | Book Chapter |
Year of Publication | 2014 |
Authors | Daneri, S, Savarè, G |
Series Volume | London Mathematical Society Lecture Note Series;volume 413; pages 100-144; |
Publisher | Cambridge University Press |
Abstract | 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. |
URL | http://urania.sissa.it/xmlui/handle/1963/35093 |
DOI | 10.1017/CBO9781107297296 |
Research Group: