arXiv math/03054272003-05-29math.DGmath.AP

Nonsmooth analysis and Hamilton-Jacobi equations on Riemannian manifolds

Daniel Azagra, Juan Ferrera, Fernando Lopez-Mesas

备注：: 46 pages

英文摘要：

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.

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