10 citations · 25 across the 6 of their papers we have counts for
12 papers · 1 filter
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]…
A note on Kazdan-Warner equation on networks
Fabio Camilli, Claudio Marchi
We investigate the Kazdan-Warner equation on a network. In this case, the differential equation is defined on each edge, while appropriate transition conditions of Kirchhoff type a…
Existence and regularity results for viscous Hamilton-Jacobi equations with Caputo time-fractional derivative
Fabio Camilli, Alessandro Goffi
We study existence, uniqueness and regularity properties of classical solutions to viscous Hamilton-Jacobi equations with Caputo time-fractional derivative. Our study relies on a c…
Superposition principle and schemes for Measure Differential Equations
Fabio Camilli, Giulia Cavagnari, Raul De Maio +1
Measure Differential Equations (MDE) describe the evolution of probability measures driven by probability velocity fields, i.e. probability measures on the tangent bundle. They are…
Variational time-fractional Mean Field Games
Tang Qing, Fabio Camilli
We consider the variational structure of a time-fractional second order Mean Field Games (MFG) system with local coupling. The MFG system consists of time-fractional Fokker-Planck…
Memory effects in measure transport equations
Fabio Camilli, Raul De Maio
Transport equations with a nonlocal velocity field have been introduced as a continuum model for interacting particle systems arising in physics, chemistry and biology. Fractional…