Fokker-Planck equations on homogeneous Lie groups and probabilistic counterparts
L Caramellino, C Mendico - arXiv preprint arXiv:2402.11524, 2024 - arxiv.org
The well-posedness of Fokker-Planck equations defined on homogeneous Lie groups and
the properties of diffusion processes associated with such equations are addressed. The …
the properties of diffusion processes associated with such equations are addressed. The …
The continuity equation in the Heisenberg-periodic case: a representation formula and an application to Mean Field Games
A Cutri, P Mannucci, C Marchi, N Tchou - Nonlinear Differential Equations …, 2024 - Springer
We provide a representation of the weak solution of the continuity equation on the
Heisenberg group H 1 with periodic data (the periodicity is suitably adapted to the group …
Heisenberg group H 1 with periodic data (the periodicity is suitably adapted to the group …
Aubry-Mather approach to optimal control problems with nonholonimic constraints
P Cannarsa, C Mendico - arXiv preprint arXiv:2306.03808, 2023 - arxiv.org
The problem of proving the existence of continuous viscosity solutions to non-coercive
stationary Hamilton-Jacobi equations, and thus describing the asymptotic behavior of …
stationary Hamilton-Jacobi equations, and thus describing the asymptotic behavior of …