Regularization of subsolutions in discrete weak KAM theory

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.
Document type :
Preprints, Working Papers, ...

https://hal.archives-ouvertes.fr/hal-00865241
Contributor : Maxime Zavidovique Connect in order to contact the contributor
Submitted on : Tuesday, September 24, 2013 - 10:49:56 AM
Last modification on : Tuesday, January 18, 2022 - 3:23:53 PM

Identifiers

• HAL Id : hal-00865241, version 1
• ARXIV : 1203.2969

Citation

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

Record views