Nonsmooth analysis and Hamilton-Jacobi equations on Riemannian manifolds

Daniel Azagra; Fernando Lopez-Mesas; Juan Ferrera

arxiv: math/0305427 · v1 · submitted 2003-05-29 · 🧮 math.DG · math.AP

Nonsmooth analysis and Hamilton-Jacobi equations on Riemannian manifolds

Daniel Azagra , Juan Ferrera , Fernando Lopez-Mesas This is my paper

classification 🧮 math.DG math.AP

keywords manifoldsriemanniandefinedequationshamilton-jacobianalysisapplycalculus

0 comments

read the original abstract

We establish some perturbed minimization principles, and we develop a theory of subdifferential calculus, for functions defined on Riemannian manifolds. Then we apply these results to show existence and uniqueness of viscosity solutions to Hamilton-Jacobi equations defined on Riemannian manifolds.

This paper has not been read by Pith yet.

Nonsmooth analysis and Hamilton-Jacobi equations on Riemannian manifolds

discussion (0)