19 citations · 92 across the 29 of their papers we have counts for
5 papers · 1 filter
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…
A Mean Field Games approach to Cluster Analysis
Laura Aquilanti, Simone Cacace, Fabio Camilli +1
In this paper, we develop a Mean Field Games approach to Cluster Analysis. We consider a finite mixture model, given by a convex combination of probability density functions, to de…
Approximation of Hamilton-Jacobi equations with Caputo time-fractional derivative
Fabio Camilli, Serikbolsyn Duisembay
In this paper, we investigate the numerical approximation of Hamilton-Jacobi equations with the Caputo time-fractional derivative. We introduce an explicit in time discretization o…
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…