113 citations · 311 across the 24 of their papers we have counts for
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math.AP2012★ 28 cited
Aubry sets for weakly coupled systems of Hamilton--Jacobi equations
Andrea Davini, Maxime Zavidovique
We introduce a notion of Aubry set for weakly coupled systems of Hamilton--Jacobi equations on the torus and characterize it as the region where the obstruction to the existence of…
math.NA2012
Fast weak-KAM integrators for separable Hamiltonian systems
Anne Bouillard, Erwan Faou, Maxime Zavidovique
We consider a numerical scheme for Hamilton-Jacobi equations based on a direct discretization of the Lax-Oleinik semi-group. We prove that this method is convergent with respect to…
math.AP2012★ 9 cited
Regularization of subsolutions in discrete weak KAM theory
Patrick Bernard, Maxime Zavidovique
We expose different methods of regularizations of subsolutions in the context of discrete weak KAM theory. They allow to prove the existence and the density of subsolutio…