Reducibility of beam equations in higher-dimensional spaces
Jie Rui, Bingchen Liu
Boundary Value Problems · 2017
doi:10.1186/s13661-017-0810-0 (opens in a new tab)
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Abstract
In this paper, we reduce a linear d -dimensional beam equation with an x -periodic and t -quasi-periodic potential for most values of the frequency vector via the KAM theorem. We focus on the measure estimates of small divisor conditions and the estimation on the coordinate transformation.
Abstract licence: CC BY-NC-ND
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