Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4610829 | Journal of Differential Equations | 2013 | 41 Pages |
Abstract
We study structural stability of smoothness of the maximal solution to the geometric eikonal equation on (Rd,G)(Rd,G), d⩾2d⩾2. This is within the framework of order zero metrics G. For a subclass of these metrics we show existence, stability as well as precise asymptotics for derivatives of the solution. These results are applicable to examples arising in Schrödinger operator theory.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
J. Cruz-Sampedro, E. Skibsted,