A KAM theorem for some partial differential equations in one dimension

Wu, Jian; Xu, Xindong

doi:10.1090/proc/12875

A KAM theorem for some partial differential equations in one dimension
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by Jian Wu and Xindong Xu PDF

Proc. Amer. Math. Soc. 144 (2016), 2149-2160 Request permission

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.

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