Global solutions to the eikonal equation
Mathematical Physics
2011-02-04 v1 math.MP
Abstract
We study structural stability of smoothness of the maximal solution to the geometric eikonal equation on (Rd, G), d \geq 2. This is within the framework of order zero metrics G. For a subclass we show existence, stability as well as precise asymptotics for derivatives of the solution. These results are applicable for examples from Schr\"odinger operator theory.
Cite
@article{arxiv.1102.0649,
title = {Global solutions to the eikonal equation},
author = {J. Cruz-Sampedro and E. Skibsted},
journal= {arXiv preprint arXiv:1102.0649},
year = {2011}
}
Comments
35 pages