Quasi-periodic solutions of completely resonant forced wave equations

被引：30

作者：

Berti, M

Procesi, M

机构：

[1] Univ Naples Federico II, Dipartimento Matemat & Applicaz R Caccioppoli, I-80126 Naples, Italy

[2] Univ Rome, Dipartimento Matemat, Rome, Italy

来源：

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS | 2006年 / 31卷 / 06期

关键词：

infinite dimensional Hamiltonian systems; Lyapunov-Schmidt reduction; nonlinear wave equation; quasi-periodic solutions; variational methods;

D O I：

10.1080/03605300500358129

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove existence of quasi-periodic solutions with two frequencies of completely resonant, periodically forced nonlinear wave equations with periodic spatial boundary conditions. We consider both the cases when the forcing frequency is: (Case A) a rational number and (Case B) an irrational number.

引用

页码：959 / 985

页数：27

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