Publication Date:
2014
abstract:
We present a short overview on the strongest variational formulation for gradi- ent 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.
Iris type:
2.1 Contributo in volume (Capitolo o Saggio)
Keywords:
Optimal Transport; analysis in metric spaces; gradient flows; metric measure spaces with lower curvature bound
List of contributors:
Daneri, Sara; Savare', Giuseppe
Book title:
Optimal Transport Theory and Applications
Published in: