Invariant Cantor manifolds of quasi-periodic oscillations for a nonlinear Schrodinger equation

Invariant Cantor manifolds of quasi-periodic oscillations for a nonlinear Schrodinger equation
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DOI:
10.2307/2118656
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发表时间:
1996
影响因子:
4.9
通讯作者:
S. B. Kuksin;J. Pöschel
S. B. Kuksin;J. Pöschel
中科院分区:
数学1区
文献类型:
--
作者:
S. B. Kuksin;J. Pöschel

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*这篇论文是在两位作者都是苏黎世理工学院毛皮数学研究所的客人时撰写的,我们感谢该研究所的热情好客、愉快的工作氛围和乐于助人的工作人员。我们特别感谢吉尔根·莫泽就这一问题进行了许多富有启发性的讨论。我们还受益于Sigurd Angenent关于解的解析性的评论。第二位作者还感谢德国联邦储备银行通过海森伯格赠款提供的财政支持。
*This paper was written while both authors were guests of the Forschungsinstitut fur Mathematik at the ETH Zurich, and we thank the institute for its hospitality, pleasant working atmosphere and helpful staff. In particular, we thank Jiirgen Moser for numerous stimulating discussions on the subject. We also benefitted from a remark by Sigurd Angenent concerning the analyticity of the solutions. The second author also thanks the Deutsche Forschungsgemeinschaft for their financial support through a Heisenberg grant.