A Birkhoff–Lewis Type Theorem for the Nonlinear Wave Equation

被引：1
作者：
Luca Biasco
Laura Di Gregorio
机构：
[1] Università “Roma Tre”,Dipartimento di Matematica
[2] Universität Paderborn,IFIM Institut für Industriemathematik
来源：
Archive for Rational Mechanics and Analysis | 2010年 / 196卷
关键词：
Periodic Solution; Periodic Orbit; Hamiltonian System; Implicit Function Theorem; Nonlinear Wave Equation;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We give an extension of the celebrated Birkhoff–Lewis theorem to the nonlinear wave equation. Accordingly, we find infinitely many periodic orbits with longer and longer minimal periods accumulating at the origin, which is an elliptic equilibrium of the associated infinite-dimensional Hamiltonian system.
引用
收藏
页码：303 / 362
页数：59
相关论文
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