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Nonsmooth analysis and Hamilton-Jacobi equations on Riemannian manifolds

Azagra Rueda, Daniel and Ferrera Cuesta, Juan and López-Mesas Colomina, Fernando (2005) Nonsmooth analysis and Hamilton-Jacobi equations on Riemannian manifolds. Journal of Functional Analysis , 220 (2). pp. 304-361. ISSN 0022-1236

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Official URL: http://www.sciencedirect.com/science/article/pii/S0022123604003519

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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.

Item Type:Article
Uncontrolled Keywords:Smooth variational-principles; Dimensional Banach-spaces; Unbounded linear terms; Non-compact manifolds; Viscosity solutions; Infinite dimensions; Convex-functions; Rolles theorem; Uniqueness; Existence; Subdifferential; Riemannian manifolds
Subjects:Sciences > Mathematics > Functions
ID Code:14774
Deposited On:17 Apr 2012 11:53
Last Modified:06 Feb 2014 10:08

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