论文标题

非线性波方程的呼吸溶液的变异方法

Variational methods for breather solutions of Nonlinear Wave Equations

论文作者

Mandel, Rainer, Scheider, Dominic

论文摘要

我们构建了许多实现的,时周期的呼吸溶液的功率型非线性波方程。这些溶液是从双重功能的临界点获得的,它们在空间中弱定位。我们的抽象框架可以找到Klein-Gordon方程或Biharmonic Wave方程的类似存在结果。

We construct infinitely many real-valued, time-periodic breather solutions of power-type nonlinear wave equations. These solutions are obtained from critical points of a dual functional and they are weakly localized in space. Our abstract framework allows to find similar existence results for the Klein-Gordon equation or biharmonic wave equations.

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