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math.OC2019
Twisted Lax--Oleinik formulas and weakly coupled systems of Hamilton--Jacobi equations
Maxime Zavidovique
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 establ…
math.MG2019
Fixed points of contractions approximating 1-Lipschitz maps
Maxime Zavidovique
A -Lipschitz map from a convex compact set to itself has fixed points. This consequence of Brouwer's or Schauder's fixed point theorem has more elementary proofs by approxim…