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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
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 Aug 2018 10:24 |
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