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.
Citation:
Nour, C. (2006). Semigeodesics and the minimal time function. ESAIM: Control, Optimisation and Calculus of Variations, 12(1), 120-138.
