Nonsmooth analysis and Hamilton-Jacobi equations on Riemannian manifolds

Details Nonsmooth analysis and Hamilton-Jacobi equations on Riemannian manifolds Nonsmooth analysis and Hamilton-Jacobi equations on Riemannian manifolds

2003-05-29

arxiv.org/abs/math/0305427v1

Mathematics

Differential Geometry

46 pages

Scientific paper

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.

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