activity
20102024
most citedA comparison among various notions of viscosity solutions for Hamilton-Jacobi equations on networks

7 citations · 21 across the 24 of their papers we have counts for

collaborators

33 papers

math.OC2024

A note on first order quasi-stationary Mean Field Games

Fabio Camilli, Claudio Marchi, Cristian Mendico

Quasi-stationary Mean Field Games models consider agents who base their strategies on current information without forecasting future states. In this paper we address the first-orde…

math.AP2023

Semi-linear parabolic equations on homogeneous Lie groups arising from mean field games

Paola Mannucci, Claudio Marchi, Cristian Mendico

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 equation,…

math.AP2023

A continuous dependence estimate for viscous Hamilton-Jacobi equations on networks with applications

Fabio Camilli, Claudio Marchi

We study continuous dependence estimates for viscous Hamilton- Jacobi equations defined on a network Gamma. Given two Hamilton-Jacobi equations, we prove an estimate of the C2-norm…

math.AP2022

On quasi-stationary Mean Field Games of Controls

Fabio Camilli, Claudio Marchi

In Mean Field Games of Controls, the dynamics of the single agent is influenced not only by the distribution of the agents, as in the classical theory, but also by the distribution…

math.AP2022

Rate of convergence for singular perturbations of Hamilton-Jacobi equations in unbounded spaces

Daria Ghilli, Claudio Marchi

We prove rate of convergence results for singular perturbations of Hamilton-Jacobi equations in unbounded spaces where the fast operator is linear, uniformly elliptic and has an Or…

math.AP2021

Non coercive unbounded first order Mean Field Games: the Heisenberg example

Paola Mannucci, Claudio Marchi, Nicoletta Tchou

In this paper we study evolutive first order Mean Field Games in the Heisenberg group; each agent can move in the whole space but it has to follow "horizontal" trajectories which a…