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math.AP2012
Heat flow and calculus on metric measure spaces with Ricci curvature bounded below - the compact case
Luigi Ambrosio, Nicola Gigli, Giuseppe Savaré
We provide a quick overview of various calculus tools and of the main results concerning the heat flow on compact metric measure spaces, with applications to spaces with lower Ricc…
math.AP2012
A global existence result for the semigeostrophic equations in three dimensional convex domains
Luigi Ambrosio, Maria Colombo, Guido De Philippis +1
Exploiting recent regularity estimates for the Monge-Ampère equation, under some suitable assumptions on the initial data we prove global-in-time existence of Eulerian distribution…