Article ID Journal Published Year Pages File Type
4610829 Journal of Differential Equations 2013 41 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
Authors
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