19 citations · 92 across the 29 of their papers we have counts for
4 papers · 1 filter
On numerical approximation of the Hamilton-Jacobi-transport system arising in high frequency approximations
Yves Achdou, Fabio Camilli, Lucilla Corrias
In the present article, we study the numerical approximation of a system of Hamilton-Jacobi and transport equations arising in geometrical optics. We consider a semi-Lagrangian sch…
Continuous dependence estimates and homogenization of quasi-monotone systems of fully nonlinear second order parabolic equations
Fabio Camilli, Claudio Marchi
Aim of this paper is to extend the continuous dependence estimates proved in \cite{JK1} to quasi-monotone systems of fully nonlinear second-order parabolic equations. As by-product…
An approximation scheme for an Hamilton-Jacobi equation defined on a network
Fabio Camilli, Adriano Festa, Dirk Schieborn
In this paper we study an approximation scheme for an Hamilton-Jacobi equation of Eikonal type defined on a network. We introduce an appropriate notion of viscosity solution for th…
Large time behavior of weakly coupled systems of first-order Hamilton-Jacobi equations
Fabio Camilli, Olivier Ley, Paola Loreti +1
We show a large time behavior result for class of weakly coupled systems of first-order Hamilton-Jacobi equations in the periodic setting. We use a PDE approach to extend the conve…