Twisted Lax--Oleinik formulas and weakly coupled systems of Hamilton--Jacobi equations
arXiv:1903.05393
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.
12 pages, to appear in Annales de la faculté des sciences de Toulouse