2011/02/03 by Cruz-Sampedro, J., Skibsted, E.
#FOS: Physical sciences #Mathematical Physics (math-ph)
paper · doi:10.48550/arxiv.1102.0649
We study structural stability of smoothness of the maximal solution to the geometric eikonal equation on (Rd, G), d ≥ 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 Schrödinger operator theory.