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Pré-Publication, Document De Travail Année : 2012

Regularization of subsolutions in discrete weak KAM theory

Résumé

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 $C^{1,1}$ subsolutions. Moreover, these subsolutions can be made strict and smooth outside of the Aubry set.

Dates et versions

hal-00865241 , version 1 (24-09-2013)

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Patrick Bernard, Maxime Zavidovique. Regularization of subsolutions in discrete weak KAM theory. 2012. ⟨hal-00865241⟩
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