Twisted Lax--Oleinik formulas and weakly coupled systems of Hamilton--Jacobi equations
Optimization and Control
2019-03-14 v1
Abstract
We show that viscosity solutions of evolutionary weakly coupled systems of Hamilton--Jacobi equations can be approximated by iterated twisted Lax--Oleinik like operators. We establish convergence to the solution of the iterated scheme and discuss further properties of the approximate solutions.
Keywords
Cite
@article{arxiv.1903.05393,
title = {Twisted Lax--Oleinik formulas and weakly coupled systems of Hamilton--Jacobi equations},
author = {Maxime Zavidovique},
journal= {arXiv preprint arXiv:1903.05393},
year = {2019}
}
Comments
12 pages, to appear in Annales de la facult\'e des sciences de Toulouse