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arXiv · 1212.4559

KAM theorems and open problems for infinite dimensional Hamiltonian with short range

Xiaoping Yuan
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Abstract

Introduce several KAM theorems for infinite dimensional Hamiltonian with short range and discuss the relationship between spectra of linearized operator and invariant tori. Especially, introduce a KAM theorem in the paper(Cummun. Math. Phys. 226, 61-100 (2002)) which shows that there are rich KAM tori for a class of Hamiltonian with short range and with linearized operator of pure point spectra. Here are also presented several open problems.

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Xiaoping Yuan. 2012-12-19. KAM theorems and open problems for infinite dimensional Hamiltonian with short range. https://arxiv.org/abs/1212.4559

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