Regularization of subsolutions in discrete weak KAM theory

Details Regularization of subsolutions in discrete weak KAM theory Regularization of subsolutions in discrete weak KAM theory

2012-03-13

arxiv.org/abs/1203.2969v1

Mathematics

Analysis of PDEs

14 pages

Scientific paper

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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