• 更多栏目

    丛洪滋

    • 教授     博士生导师   硕士生导师
    • 性别:男
    • 毕业院校:复旦大学
    • 学位:博士
    • 所在单位:数学科学学院
    • 学科:应用数学
    • 办公地点:创新园大厦B1211
    • 电子邮箱:conghongzi@dlut.edu.cn

    访问量:

    开通时间:..

    最后更新时间:..

    Long time stability of KAM tori for nonlinear wave equation

    点击次数:

    论文类型:期刊论文

    发表时间:2015-04-15

    发表刊物:JOURNAL OF DIFFERENTIAL EQUATIONS

    收录刊物:SCIE、Scopus

    卷号:258

    期号:8

    页面范围:2823-2846

    ISSN号:0022-0396

    关键字:KAM tori; Normal form; Stability; p-tame property; KAM technique

    摘要:It is proved that the KAM tori (thus quasi-periodic solutions) are long time stable for infinite dimensional Hamiltonian systems generated by nonlinear wave equation, by constructing a partial normal form of higher order around the KAM torus and showing that p-tame property persists under KAM iterative procedure and normal form iterative procedure. (C) 2014 Elsevier Inc. All rights reserved.