Heat flow as gradient flow

Jeudi 5 mai 2011 15:45-16:45 - Gigli Nicola - Université de Nice Sophia-Antipolis

Résumé : Aim of the talk is to make a survey on some recent results concerning analysis over spaces with Ricci curvature bounded from below. I will show that the heat flow in such setting can be equivalently built either as gradient flow of the natural Dirichlet energy in L^2 or as gradient flow if the relative entropy in the Wasserstein space. I will also show how such identification can lead to interesting analytic and geometric insights on the structures of the spaces themselves.
From a collaboration with L.Ambrosio and G.Savare.

Lieu : Bât. 425 - 113-115

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