KAM theorems and open problems for infinite-dimensional Hamiltonian with short range

来源 :中国科学：数学英文版 | 被引量 : 0次 | 上传用户：bowangmosong1

【摘要】

：

We introduce several KAM theorems for infinite-dimensional Hamiltonian with short range and discuss the relationship between spectra of linearized operator and

【作者】

：

YUAN XiaoPing

【机构】

：

SchoolofMathematicalSciences

【出处】

：

中国科学：数学英文版

【发表日期】

：

2014年7期

【关键词】

：

HAMILTON KAM定理短距离无穷维开放性问题不变环面线性算子距离和 KAM theoremshort rangeinvariant tori

【基金项目】

：

supported by National Natural Science Foundation of China （Grant Nos.11271076 and 11121101）,the National Basic Research Program of China （973 Program）（Grant No.2010CB327900）

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We introduce several KAM theorems for infinite-dimensional Hamiltonian with short range and discuss the relationship between spectra of linearized operator and invariant tori.Especially,we introduce a KAM theorem by Yuan published in CMP(2002),which shows

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KAM theorems and open problems for infinite-dimensional Hamiltonian with short range

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