Reducibility of 1-d Schrödinger Equation with Time Quasiperiodic Unbounded Perturbations, II
Reducibility of 1-d Schrödinger Equation with Time Quasiperiodic Unbounded Perturbations, II
复制标题
DOI：
10.1007/s00220-016-2825-2
复制
发表时间：
2016-06
影响因子：
2.4
通讯作者：
D. Bambusi
中科院分区：
文献类型：
--
作者：
D. Bambusi
本文研究了具有无穷远处多项式势的薛定谔方程，以及具有小时间准周期扰动的薛定谔方程。我们证明，如果扰动的符号增长最多像，与，那么系统是可约的。本文还证明了一些推广，包括的情形.这个结果暗示了Sobolev范数的有界性。证明是基于伪微分学和KAM理论参考文献
We study the Schrödinger equation onwith a polynomial potential behaving asat infinity,, and with a small time quasiperiodic perturbation. We prove that if the symbol of the perturbation grows at most like, with, then the system is reducible. Some extensions including cases withare also proved. The result implies boundedness of Sobolev norms. The proof is based on pseudodifferential calculus and KAM theory References