Weak KAM theory for discount Hamilton-Jacobi equations and its application
Analysis of PDEs
2016-11-24 v1 Dynamical Systems
Abstract
Weak KAM theory for discount Hamilton-Jacobi equations and corresponding discount Lagrangian/Hamiltonian dynamics is developed. Then it is applied to error estimates for viscosity solutions in the vanishing discount process. The main feature is to introduce and investigate the family of -limit points of minimizing curves, with some details in terms of minimizing measures. In error estimates, the family of -limit points is effectively exploited with properties of the corresponding dynamical systems.
Keywords
Cite
@article{arxiv.1611.07685,
title = {Weak KAM theory for discount Hamilton-Jacobi equations and its application},
author = {Hiroyoshi Mitake and Kohei Soga},
journal= {arXiv preprint arXiv:1611.07685},
year = {2016}
}