Monday, December 9, 2024 — 11:30 am — laboratorio Zironi, edificio Matematica
Optimal control problems driven by nonlinear degenerate Fokker-Planck equations
Abstract: In this talk we will analyse the well-posedness of a class of optimal control problems, where the state equation couples a nonlinear degenerate Fokker-Planck equation with a system of ODEs. This type of problem arises when dealing with mean-field limits of Stochastic Differential Models for multipopulation dynamics, where a large number of agents (followers) is steered through parsimonious intervention on a selected class of leaders.
The results we will discuss about are part of a joint project in collaboration with G. Ascione, D. Castorina and F. Solombrino.