Nonsmooth analysis and Hamilton-Jacobi equations on Riemannian manifolds

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.

46 pages

Cited by in corpus (1)

• Proximal calculus on Riemannian manifolds, with applications to fixed point theory