A KAM THEOREM FOR SOME PARTIAL DIFFERENTIAL EQUATIONS IN ONE DIMENSION

作者:Wu, Jian*; Xu, Xindong*
来源:PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2016, 144(5): 2149-2160.
DOI:10.1090/proc/12875

摘要

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.