论文标题

在klein的光谱和轨道稳定性上 - 戈登方程与非谐振荡器耦合

On spectral and orbital stability for the Klein--Gordon equation coupled to an anharmonic oscillator

论文作者

Comech, Andrew, Kopylova, Elena A.

论文摘要

我们获得了单生波解的光谱和轨道稳定性的明确表征,以一个空间尺寸与Anharmonic振荡器耦合,以$ \ MATHBF {u}(1)$ - 不变的klein-gordon方程。我们还对孤立波的线性化光谱进行了完整分析。

We obtain explicit characterization of spectral and orbital stability of solitary wave solutions to the $\mathbf{U}(1)$-invariant Klein--Gordon equation in one spatial dimension coupled to an anharmonic oscillator. We also give the complete analysis of the spectrum of the linearization at a solitary wave.

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