Nonsmooth analysis and Hamilton-Jacobi equations on Riemannian manifolds

Azagra Rueda, DanielFerrera Cuesta, JuanLópez-Mesas Colomina, Fernando2023-06-202023-06-202005-03-150022-123610.1016/j.jfa.2004.10.008https://hdl.handle.net/20.500.14352/49822We 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.engNonsmooth analysis and Hamilton-Jacobi equations on Riemannian manifoldsjournal articlehttp://www.sciencedirect.com/science/article/pii/S0022123604003519restricted access517.518.244Smooth variational-principlesDimensional Banach-spacesUnbounded linear termsNon-compact manifoldsViscosity solutionsInfinite dimensionsConvex-functionsRolles theoremUniquenessExistenceSubdifferentialRiemannian manifoldsFunciones (Matemáticas)1202 Análisis y Análisis Funcional