Nonsmooth analysis and Hamilton-Jacobi equations on Riemannian manifolds
Daniel Azagra, Juan Ferrera, Fernando Lopez-Mesas
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.
Create a lesson
Related papers
The Bernstein problem in higher dimensional Heisenberg groups
Gianmarco Giovannardi, Simone Verzellesi
A Lean Formalization of the Hamilton--Perelman Proof of Thurston's Geometrization Conjecture
Yuan Liao, Ziyang Qin, Jui-Hui Chung et al.
A counterexample to Nirenberg's conjecture on closed asymptotic curves
Harrison Banks, Mohammad Ghomi, Hongda Qiu et al.
Topping's conjecture for solutions of harmonic map flow with isolated bubbles
Melanie Rupflin, Alex Waldron, Sebastian Woodward
The Renormalized Area--Willmore Relation
Alvaro Pampano, Aaron J. Tyrrell
Compact lcK manifolds with Gauduchon parallel vector fields
Andrei Moroianu, Giacomo Perri