Semi-linear parabolic equations on homogenous Lie groups arising from mean field games
P Mannucci, C Marchi, C Mendico - Mathematische Annalen, 2024 - Springer
The existence and the uniqueness of solutions to some semilinear parabolic equations on
homogeneous Lie groups, namely, the Fokker–Planck equation and the Hamilton–Jacobi …
homogeneous Lie groups, namely, the Fokker–Planck equation and the Hamilton–Jacobi …
Rate of Convergence for First-Order Singular Perturbation Problems: Hamilton–Jacobi–Isaacs Equations and Mean Field Games of Acceleration
P Cannarsa, C Mendico - Dynamic Games and Applications, 2024 - Springer
This work focuses on the rate of convergence for singular perturbation problems for first-
order Hamilton–Jacobi equations. We use the nonlinear adjoint method to analyze how the …
order Hamilton–Jacobi equations. We use the nonlinear adjoint method to analyze how the …
Kinetic-type Mean Field Games with Non-separable Local Hamiltonians
DM Ambrose, M Griffin-Pickering… - arXiv preprint arXiv …, 2024 - arxiv.org
We prove well-posedness of a class of kinetic-type Mean Field Games, which typically arise
when agents control their acceleration. Such systems include independent variables …
when agents control their acceleration. Such systems include independent variables …
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 …