Reducibility of beam equations in higher-dimensional spaces

Boundary value problems

Jie Rui¹  Bingchen Liu² 

[1] College of Science, China University of Petroleum (East China), Qingdao, People’s Republic of China

关键词: infinite-dimensional Hamiltonian systems;    beam equations;    reducibility;    invariant torus;   

DOI  :  10.1186/s13661-017-0810-0

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

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.

【 授权许可】

CC BY