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Regularization of subsolutions in discrete weak KAM theory

Zavidovique, Maxime; Bernard, Patrick (2013), Regularization of subsolutions in discrete weak KAM theory, Canadian Journal of Mathematics, 65, p. 740-756. http://dx.doi.org/10.4153/CJM-2012-059-3

Type
Article accepté pour publication ou publié
External document link
http://hal.archives-ouvertes.fr/hal-00678699
Date
2013
Journal name
Canadian Journal of Mathematics
Volume
65
Publisher
Canadian Mathematical Society
Pages
740-756
Publication identifier
Metadata
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Author(s)
Zavidovique, Maxime
Bernard, Patrick cc
Abstract (EN)
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.
Subjects / Keywords
Subsolutions; Regularization Methods; weak KAM theory