Global solutions to the eikonal equation
  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. 
J. Cruz-Sampedro and E. Skibsted
math-ph math.MP