A KAM theorem for some partial differential equations in one dimension
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Abstract:
We prove an infinite-dimensional KAM theorem with dense normal frequencies. In this theorem, we relax the separation condition on normal frequencies which is required by the KAM theorem.References
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Additional Information
- Jian Wu
- Affiliation: College of Science, Nanjing University of Aeronautics and Astronautics, Nanjing 211106, People’s Republic of China
- Email: jianw@nuaa.edu.cn
- Xindong Xu
- Affiliation: Department of Mathematics, Southeast University, Nanjing 210089, People’s Republic of China
- Email: xindong.xu@seu.edu.cn, xuxdnju@gmail.com
- Received by editor(s): May 2, 2015
- Received by editor(s) in revised form: June 23, 2015
- Published electronically: October 8, 2015
- Additional Notes: The first author was supported in part by NSFC Grant 11401302, Jiangsu Planned Projects for Postdoctoral Research Funds (1302022C), and China Postdoctoral Science Foundation funded project (2014M551583).
The second author was supported in part by NSFC Grant 11301072, NSF of Jiangsu, Grant 21031285 - Communicated by: Yingfei Yi
- © Copyright 2015 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 144 (2016), 2149-2160
- MSC (2010): Primary 37K55; Secondary 70K43
- DOI: https://doi.org/10.1090/proc/12875
- MathSciNet review: 3460174