Giuseppe Savaré

activity

20072023

most citedCalculus and heat flow in metric measure spaces and applications to spaces with Ricci bounds from below

288 citations · 1.7k across the 31 of their papers we have counts for

collaborators

Showing 2022Show all

3 papers · 1 filter

math.FA2022

Density of subalgebras of Lipschitz functions in metric Sobolev spaces and applications to Wasserstein Sobolev spaces

Massimo Fornasier, Giuseppe Savaré, Giacomo Enrico Sodini

We prove a general criterion for the density in energy of suitable subalgebras of Lipschitz functions in the metric-Sobolev space $H^{1, p} (X, d, m)$ associated wi…

math.AP2022

Fine properties of geodesics and geodesic $λ$ -convexity for the Hellinger-Kantorovich distance

Matthias Liero, Alexander Mielke, Giuseppe Savaré

We study the fine regularity properties of optimal potentials for the dual formulation of the Hellinger--Kantorovich problem (HK), providing sufficient conditions for the solvabili…

math.AP2022

$L^{2}$ -Gradient Flows of Spectral Functionals

Dario Mazzoleni, Giuseppe Savaré

We study the $L^{2}$ -gradient flow of functionals $F$ depending on the eigenvalues of Schrödinger potentials $V$ for a wide class of differential operators associated to clo…

Density of subalgebras of Lipschitz functions in metric Sobolev spaces and applications to Wasserstein Sobolev spaces

Fine properties of geodesics and geodesic λ-convexity for the Hellinger-Kantorovich distance

L2-Gradient Flows of Spectral Functionals

Fine properties of geodesics and geodesic $λ$ -convexity for the Hellinger-Kantorovich distance

$L^{2}$ -Gradient Flows of Spectral Functionals