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.
LECTURE NOTES ON GRADIENT FLOWS AND OPTIMAL TRANSPORT
SAVARE', GIUSEPPE
2014-01-01
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.File in questo prodotto:
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