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A new estimate on Evans' Weak KAM approach

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arxiv 1109.3289 v2 pith:OY2ILNOA submitted 2011-09-15 math.DS math-phmath.MP

A new estimate on Evans' Weak KAM approach

classification math.DS math-phmath.MP
keywords evanshandtheoryweakallowsapproachboundscase
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We consider a recent formulation of weak KAM theory proposed by Evans. As well as for classical integrability, for one dimensional mechanical Hamiltonian systems all the computations can be explicitly done. This allows us on the one hand to illustrate the geometric content of the theory, on the other hand to prove new lower bounds which extend also to the generic n degrees of freedom case.

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