19 citations · 92 across the 29 of their papers we have counts for
5 papers · 1 filter
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…
Absolutely Minimizing Lipschitz Extensions and Infinity Harmonic Functions on the Sierpinski gasket
Fabio Camilli, Raffaela Capitanelli, Maria Agostina Vivaldi
Aim of this note is to study the infinity Laplace operator and the corresponding Absolutely Minimizing Lipschitz Extension problem on the Sierpinski gasket in the spirit of the cla…
A discrete Hughes' model for pedestrian flow on graphs
Fabio Camilli, Adriano Festa, Silvia Tozza
In this paper, we introduce a discrete time-finite state model for pedestrian flow on a graph in the spirit of the Hughes dynamic continuum model. The pedestrians, represented by a…
A unified approach to the well-posedness of some non-Lambertian models in Shape-from-Shading theory
Fabio Camilli, Silvia Tozza
In this paper we show that the introduction of an attenuation factor in the %image irradiance brightness equations relative to various perspective Shape from Shading models allows…
Ergodic problems for Hamilton-Jacobi equations: yet another but efficient numerical method
Simone Cacace, Fabio Camilli
We propose a new approach to the numerical solution of ergodic problems arising in the homogenization of Hamilton-Jacobi (HJ) equations. It is based on a Newton-like method for sol…