Nonsmooth analysis and Hamilton-Jacobi equations on Riemannian manifolds
Differential Geometry
2007-05-23 v1 Analysis of PDEs
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.
Keywords
Cite
@article{arxiv.math/0305427,
title = {Nonsmooth analysis and Hamilton-Jacobi equations on Riemannian manifolds},
author = {Daniel Azagra and Juan Ferrera and Fernando Lopez-Mesas},
journal= {arXiv preprint arXiv:math/0305427},
year = {2007}
}
Comments
46 pages