5 papers · 1 filter
Long-time behavior of generalized gradient flows of solutions to Hamilton-Jacobi equations
Paolo Albano, Piermarco Cannarsa, Wei Cheng +1
We study the long-time behavior of the generalized gradient flow associated with solutions of the critical Hamilton-Jacobi equation for mechanical Hamiltonians on the flat torus. F…
Discretization and Vanishing Discount Problems for First-order Mean Field Games
Renato Iturriaga, Cristian Mendico, Kaizhi Wang +1
This article focuses two issues related to the first-order discounted mean field games system. The first is the time discretization problem. The time discretization approach enable…
Quantitative and qualitative properties for Hamilton-Jacobi PDEs via the nonlinear adjoint method
Fabio Camilli, Alessandro Goffi, Cristian Mendico
We provide some new integral estimates for solutions to Hamilton-Jacobi equations and we discuss several consequences, ranging from -rates of convergence for the vanishing vis…
Fokker-Planck equations on homogeneous Lie groups and probabilistic counterparts
Lucia Caramellino, Cristian Mendico
We address the well-posedness of subelliptic Fokker-Planck equations arising from stochastic control problems, as well as the properties of the associated diffusion processes. Here…
Rate of convergence for first-order singular perturbation problems: Hamilton-Jacobi-Isaacs equations and mean field games of acceleration
Piermarco Cannarsa, Cristian Mendico
This work focuses on the rate of convergence for singular perturbation problems for first-order Hamilton-Jacobi equations. As an application we derive the rate of convergence for s…