Essential forward weak KAM solution for the convex Hamilton-Jacobi equation
Dynamical Systems
2021-03-16 v1
Abstract
For a convex, coercive continuous Hamiltonian on a compact closed Riemannian manifold , we construct a unique forward weak KAM solution of by a vanishing discount approach, where is the Ma\~n\'e critical value. We also discuss the dynamical significance of such a special solution.
Keywords
Cite
@article{arxiv.2103.07638,
title = {Essential forward weak KAM solution for the convex Hamilton-Jacobi equation},
author = {Xifeng Su and Jianlu Zhang},
journal= {arXiv preprint arXiv:2103.07638},
year = {2021}
}
Comments
11 pages