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arXiv · 1203.2969

Regularization of subsolutions in discrete weak KAM theory

Patrick Bernard·Maxime Zavidovique
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Abstract

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.

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Patrick Bernard, Maxime Zavidovique. 2012-03-13. Regularization of subsolutions in discrete weak KAM theory. https://doi.org/10.4153/cjm-2012-059-3

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