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arXiv · 1903.05393

Twisted Lax--Oleinik formulas and weakly coupled systems of Hamilton--Jacobi equations

Maxime Zavidovique
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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.

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Maxime Zavidovique. 2019-03-13. Twisted Lax--Oleinik formulas and weakly coupled systems of Hamilton--Jacobi equations. https://arxiv.org/abs/1903.05393

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