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Semigeodesics and the minimal time function

Chadi Nour — 2006

ESAIM: Control, Optimisation and Calculus of Variations

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.

Semigeodesics and the minimal time function

Chadi Nour — 2005

ESAIM: Control, Optimisation and Calculus of Variations

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 [, 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.

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