19 citations · 32 across the 3 of their papers we have counts for
3 papers
math.AP2018★ 4 cited
A Hopf-Lax formula for Hamilton-Jacobi equations with Caputo time derivative
Fabio Camilli, Raul De Maio, Elisa Iacomini
We prove a representation formula of Hopf-Lax type for the solution of a Hamilton-Jacobi equation involving Caputo time-fractional derivative. Equations of these type are associate…
math.AP2017★ 9 cited
Measure-valued solutions to nonlocal transport equations on networks
Fabio Camilli, Raul De Maio, Andrea Tosin
We study a nonlinear transport equation defined on an oriented network where the velocity field depends not only on the state variable, but also on the solution itself. We prove ex…
math.AP2016★ 19 cited
Transport of measures on networks
Fabio Camilli, Raul De Maio, Andrea Tosin
In this paper we formulate a theory of measure-valued linear transport equations on networks. The building block of our approach is the initial/boundary-value problem for the measu…