19 citations · 92 across the 29 of their papers we have counts for
45 papers
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…
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…
Approximation of the value function for optimal control problems on stratified domains
Simone Cacace, Fabio Camilli
In optimal control problems defined on stratified domains, the dynamics and the running cost may have discontinuities on a finite union of submanifolds of RN. In [8, 5], the corres…
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…
Rates of convergence for the policy iteration method for Mean Field Games systems
Fabio Camilli, Qing Tang
Convergence of the policy iteration method for discrete and continuous optimal control problems holds under general assumptions. Moreover, in some circumstances, it is also possibl…
A quadratic Mean Field Games model for the Langevin equation
Fabio Camilli
We consider a Mean Field Games model where the dynamics of the agents is given by a controlled Langevin equation and the cost is quadratic. A change of variables, introduced in [9]…