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

Published 16 Aug 2018 in math.DS | (1808.05358v3)

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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