288 citations · 1.7k across the 31 of their papers we have counts for
18 papers · 1 filter
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…
Jump processes as Generalized Gradient Flows
Mark A. Peletier, Riccarda Rossi, Giuseppe Savaré +1
We have created a functional framework for a class of non-metric gradient systems. The state space is a space of nonnegative measures, and the class of systems includes the Forward…
A variational approach to the mean field planning problem
Carlo Orrieri, Alessio Porretta, Giuseppe Savaré
We investigate a first-order mean field planning problem of the form \begin{equation} \left\lbrace\begin{aligned} -\partial_t u + H(x,Du) &= f(x,m) &&\text{in } (0,T)\times \mathbb…
Mean-field optimal control as Gamma-limit of finite agent controls
Massimo Fornasier, Stefano Lisini, Carlo Orrieri +1
This paper focuses on the role of a government of a large population of interacting agents as a mean field optimal control problem derived from deterministic finite agent dynamics.…
Weighted Energy-Dissipation principle for gradient flows in metric spaces
Riccarda Rossi, Giuseppe Savaré, Antonio Segatti +1
This paper develops the so-called Weighted Energy-Dissipation (WED) variational approach for the analysis of gradient flows in metric spaces. This focuses on the minimization of th…