Publication: Nonsmooth analysis and Hamilton-Jacobi equations on Riemannian manifolds
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Publication Date
2005-03-15
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Elsevier
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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.