3 papers
math.PR2025
Stochastic Optimal Control of Interacting Particle Systems in Hilbert Spaces and Applications
Filippo de Feo, Fausto Gozzi, Andrzej Święch +1
Optimal control of interacting particles governed by stochastic evolution equations in Hilbert spaces is an open area of research. Such systems naturally arise in formulations wher…
math.AP2024
On Mean Field Games in Infinite Dimension
Salvatore Federico, Fausto Gozzi, Andrzej Święch
We study a Mean Field Games (MFG) system in a real, separable infinite dimensional Hilbert space. The system consists of a second order parabolic type equation, called Hamilton-Jac…
math.AP2020
Viscosity solutions to an initial value problem for a Hamilton--Jacobi equation with a degenerate Hamiltonian occurring in the dynamics of peakons
Tomasz Cieślak, Jakub Siemianowski, Andrzej Święch
We consider an initial value problem for a Hamilton--Jacobi equation with a quadratic and degenerate Hamiltonian. Our Hamiltonian comes from the dynamics of -peakon in the Camas…