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Nonsmooth analysis and Hamilton-Jacobi equations on Riemannian manifolds

Daniel Azagra·Juan Ferrera·Fernando Lopez-Mesas
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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.

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Daniel Azagra, Juan Ferrera, Fernando Lopez-Mesas. 2003-05-29. Nonsmooth analysis and Hamilton-Jacobi equations on Riemannian manifolds. https://arxiv.org/abs/math/0305427

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