Almost Periodic Solutions of One Dimensional Schrödinger Equation with the External Parameters

Almost Periodic Solutions of One Dimensional Schrödinger Equation with the External Parameters
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DOI:
10.1007/s10884-013-9302-9
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发表时间:
2013-05
影响因子:
1.3
通讯作者:
J. Geng;Xindong Xu
J. Geng;Xindong Xu
中科院分区:
数学3区
文献类型:
--
作者:
J. Geng;Xindong Xu

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证明了带有外参数的一维薛定谔方程的惠特尼族几乎周期解。它基于对频率偏移的详细分析和改进的无限维KAM理论。
A whitney family of almost periodic solutions for one dimensional Schrödinger equations with the external parameters are proved. It’s based on a detailed analysis to the shift of frequency and an improved infinite dimension KAM theory.