KAM Theorem for a Hamiltonian system with Sublinear Growth Frequencies at Infinity

Xindong Xu

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arXiv · 1808.05358

KAM Theorem for a Hamiltonian system with Sublinear Growth Frequencies at Infinity

Xindong Xu

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Abstract

We prove an infinite-dimensional KAM theorem for a Hamiltonian system with sublinear growth frequencies at infinity. As an application, we prove the reducibility of the linear fractional Schr\"odinger equation with quasi-periodic time-dependent forcing.

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BibTeX RIS

Xindong Xu. 2018-08-16. KAM Theorem for a Hamiltonian system with Sublinear Growth Frequencies at Infinity. https://arxiv.org/abs/1808.05358

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