Canadian Mathematical Society
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Regularization of Subsolutions in Discrete Weak KAM Theory

Open Access article
 Printed: Aug 2013
  • P. Bernard,
    Université Paris-Dauphine
  • M. Zavidovique,
    Université Paris 6
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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.
Keywords: discrete subsolutions, regularity discrete subsolutions, regularity
MSC Classifications: 49C15 show english descriptions unknown classification 49C15 49C15 - unknown classification 49C15

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