1 citations · 1 across the 2 of their papers we have counts for
3 papers
math.AP2012
The vanishing viscosity limit for Hamilton-Jacobi equations on Networks
Fabio Camilli, Claudio Marchi, Dirk Schieborn
For a Hamilton-Jacobi equation defined on a network, we introduce its vanishing viscosity approximation. The elliptic equation is given on the edges and coupled with Kirchhoff-type…
math.AP2012
Eikonal equations on ramified spaces
Fabio Camilli, Dirk Schieborn, Claudio Marchi
We generalize the results in [16] to higher dimensional ramified spaces. For this purpose we introduce ramified manifolds and, as special cases, locally elementary polygonal ramifi…
math.AP2011★ 1 cited
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…