Article contents
Semigeodesics and the minimal time function
Published online by Cambridge University Press: 15 December 2005
Abstract
We study the Hamilton-Jacobi equation of the minimal time function in a domain which contains the target set. We generalize the results of Clarke and Nour [J. Convex Anal., 2004], where the target set is taken to be a single point. As an application, we give necessary and sufficient conditions for the existence of solutions to eikonal equations.
Keywords
- Type
- Research Article
- Information
- ESAIM: Control, Optimisation and Calculus of Variations , Volume 12 , Issue 1 , January 2006 , pp. 120 - 138
- Copyright
- © EDP Sciences, SMAI, 2006
References
- 3
- Cited by