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Regularization of Subsolutions in Discrete Weak KAM Theory
Published online by Cambridge University Press: 20 November 2018
Abstract
We expose different methods of regularizations of subsolutions in the context of discrete weak $\text{KAM}$ theory that allow us 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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- Research Article
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- Copyright © Canadian Mathematical Society 2013
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