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arXiv:math/0305427 [math.DG]AbstractReferencesReviewsResources

Nonsmooth analysis and Hamilton-Jacobi equations on Riemannian manifolds

Daniel Azagra, Juan Ferrera, Fernando Lopez-Mesas

Published 2003-05-29Version 1

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.

Comments: 46 pages
Categories: math.DG, math.AP
Subjects: 49J52, 58E30
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