288 citations · 1.7k across the 31 of their papers we have counts for
36 papers
A Lagrangian approach to totally dissipative evolutions in Wasserstein spaces
Giulia Cavagnari, Giuseppe Savaré, Giacomo Enrico Sodini
We introduce and study the class of totally dissipative multivalued probability vector fields (MPVF) on the Wasserstein space $(\mathcal{P}_2(\mathsf{X}),W…
Extension of monotone operators and Lipschitz maps invariant for a group of isometries
Giulia Cavagnari, Giuseppe Savaré, Giacomo Enrico Sodini
We study monotone operators in reflexive Banach spaces that are invariant with respect to a group of suitable isometric isomorphisms and we show that they always admit a maximal ex…
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 associated wi…
Fine properties of geodesics and geodesic -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…
-Gradient Flows of Spectral Functionals
Dario Mazzoleni, Giuseppe Savaré
We study the -gradient flow of functionals depending on the eigenvalues of Schrödinger potentials for a wide class of differential operators associated to clo…
Dissipative probability vector fields and generation of evolution semigroups in Wasserstein spaces
Giulia Cavagnari, Giuseppe Savaré, Giacomo Enrico Sodini
We introduce and investigate a notion of multivalued -dissipative probability vector field (MPVF) in the Wasserstein space of Borel probability measur…