Quasi-periodic solutions of nonlinear wave equations with a prescribed potential

被引：20

作者：

Yuan, Xiaoping ^{[1
]}

机构：

[1] Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China

[2] Fudan Univ, Minist Educ, Key Lab Math Nonlinear Sci, Shanghai, Peoples R China

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2006年 / 16卷 / 03期

关键词：

nonlinear wave equation; KAM theorem; infinite dimensional Hamiltonian systems; quasi-periodic solutions;

D O I：

10.3934/dcds.2006.16.615

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It is proved that for a prescribed potential V there are many quasi-periodic solutions of nonlinear wave equations u(tt) - u(xx) + V(x)u +/- u(3) + O(vertical bar u vertical bar(5)) = subject to Dirichlet boundary conditions.

引用

页码：615 / 634

页数：20

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