Nonsmooth analysis and Hamilton-Jacobi equations on Riemannian manifolds

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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.
46 pages

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Differential Geometry, Analysis of PDEs, 49J52, 58E30

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http://salesiana.dossiersoluciones.com/handle/123456789/67616

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0305427
 http://arxiv.org/abs/math/0305427

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arXiv