English

A comparison among various notions of viscosity solutions for Hamilton-Jacobi equations on networks

Analysis of PDEs 2013-01-03 v1 Optimization and Control

Abstract

Three definitions of viscosity solutions for Hamilton-Jacobi equations on networks recently appeared in literature ([1,4,6]). Being motivated by various applications, they appear to be considerably different. Aim of this note is to establish their equivalence.

Keywords

Cite

@article{arxiv.1301.0194,
  title  = {A comparison among various notions of viscosity solutions for Hamilton-Jacobi equations on networks},
  author = {Fabio Camilli and Claudio Marchi},
  journal= {arXiv preprint arXiv:1301.0194},
  year   = {2013}
}