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arXiv · 1805.10637

Dynamic and asymptotic behavior of singularities of certain weak KAM solutions on the torus

Piermarco Cannarsa·Qinbo Chen·Wei Cheng
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Abstract

For mechanical Hamiltonian systems on the torus, we study the dynamical properties of the generalized characteristics semiflows associated with certain Hamilton-Jacobi equations, and build the relation between the $\omega$-limit set of this semiflow and the projected Aubry set.

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Piermarco Cannarsa, Qinbo Chen, Wei Cheng. 2018-05-27. Dynamic and asymptotic behavior of singularities of certain weak KAM solutions on the torus. https://doi.org/10.1016/j.jde.2019.03.020

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