2 papers
math.OC2025
HJB equations driven by the Dirichlet-Ferguson Laplacian in Wasserstein-Sobolev spaces
François Delarue, Mattia Martini, Giacomo Enrico Sodini
We study linear and nonlinear PDEs defined on the space of over the flat torus , equipped with the Dirichlet-Ferguson measure $\mathcal{D}…
math.OC2024
Fourier Galerkin approximation of mean field control problems
François Delarue, Mattia Martini
The purpose of this work is to provide a finite dimensional approximation of the solution to a mean field optimal control problem set on the -dimensional torus. The approximatio…