Eikonal equations on ramified spaces
Analysis of PDEs
2012-01-26 v1
Abstract
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 ramified spaces (LEP spaces). On LEP spaces we develop a theory of viscosity solutions for Hamilton-Jacobi equations, providing existence and uniqueness results.
Cite
@article{arxiv.1201.5220,
title = {Eikonal equations on ramified spaces},
author = {Fabio Camilli and Dirk Schieborn and Claudio Marchi},
journal= {arXiv preprint arXiv:1201.5220},
year = {2012}
}