Nonsmooth analysis and Hamilton-Jacobi equations on Riemannian manifolds

2003/05/29 by Daniel Azagra, Azagra, Daniel, Juan Ferrera +4 · 1 citation
Mathematics · #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Nonlinear Partial Differential Equations #math.AP #math.DG #msc:49J52 #msc:58E30

paper · pdf · doi:10.48550/arxiv.math/0305427

46 pages

arxiv created 2003/05/29 · arxiv updated 2009/11/30

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.

Cited by

• Proximal calculus on Riemannian manifolds, with applications to fixed point theory

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