A KAM THEOREM FOR SOME PARTIAL DIFFERENTIAL EQUATIONS IN ONE DIMENSION

被引：3

作者：

Wu, Jian ^{[1
]}

Xu, Xindong ^{[2
]}

机构：

[1] Nanjing Univ Aeronaut & Astronaut, Coll Sci, Nanjing 211106, Jiangsu, Peoples R China

[2] Southeast Univ, Dept Math, Nanjing 210089, Jiangsu, Peoples R China

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2016年 / 144卷 / 05期

基金：

中国博士后科学基金;

关键词：

KAM tori; dense normal frequency; NONLINEAR-WAVE EQUATIONS; QUASI-PERIODIC SOLUTIONS; HAMILTONIAN PERTURBATIONS; SCHRODINGER-EQUATION;

D O I：

10.1090/proc/12875

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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.

引用

页码：2149 / 2160

页数：12

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