
arXiv: 1203.2969
AbstractWe expose different methods of regularizations of subsolutions in the context of discrete weak KAM theory that allow us to prove the existence and the density of C1,1 subsolutions. Moreover, these subsolutions can be made strict and smooth outside of the Aubry set.
weak KAM theory, [MATH.MATH-DS] Mathematics [math]/Dynamical Systems [math.DS], Subsolutions, 520, 510, Regularization Methods, Mathematics - Analysis of PDEs, astrophysique), Sciences connexes (physique, FOS: Mathematics, Analysis of PDEs (math.AP)
weak KAM theory, [MATH.MATH-DS] Mathematics [math]/Dynamical Systems [math.DS], Subsolutions, 520, 510, Regularization Methods, Mathematics - Analysis of PDEs, astrophysique), Sciences connexes (physique, FOS: Mathematics, Analysis of PDEs (math.AP)
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