19 citations · 92 across the 29 of their papers we have counts for
3 papers · 1 filter
A flame propagation model on a network with application to a blocking problem
Fabio Camilli, Elisabetta Carlini, Claudio Marchi
We consider the Cauchy problem \[\partial_t u+H(x,Du)=0 \quad (x,t)\inΓ\times (0,T),\quad u(x,0)=u_0(x) \quad x\inΓ\] where is a network and is a convex and positive homoge…
Eikonal equations on the Sierpinski gasket
Fabio Camilli, Raffaela Capitanelli, Claudio Marchi
We study the eikonal equation on the Sierpinski gasket in the spirit of the construction of the Laplacian in Kigami [8]: we consider graph eikonal equations on the prefractals and…
A model problem for Mean Field Games on networks
Fabio Camilli, Elisabetta Carlini, Claudio Marchi
In [14], Gueant, Lasry and Lions considered the model problem ``What time does meeting start?'' as a prototype for a general class of optimization problems with a continuum of play…