On the construction of almost periodic solutions for a nonlinear Schrodinger equation

被引：58
|
作者：
Pöschel, J [1 ]
机构：
[1] Univ Stuttgart, Inst Math A, D-70569 Stuttgart, Germany
来源：
ERGODIC THEORY AND DYNAMICAL SYSTEMS | 2002年 / 22卷
关键词：
D O I：
10.1017/S0143385702001086
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We describe the construction of almost-periodic solutions for a particular Schrodinger equation on a finite x-interval, depending on some potential V. The construction proceeds by iterating a KAM theorem about the existence of quasiperiodic solutions for some partial differential equations. As a result, we find for,almost all' potentials V uncountably many almost-periodic solutions accumulating at the zero solution.
引用
收藏
页码：1537 / 1549
页数：13
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