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arXiv · 2012.04413

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

Andrew Comech·Elena A. Kopylova
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Abstract

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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Andrew Comech, Elena A. Kopylova. 2020-12-08. On spectral and orbital stability for the Klein--Gordon equation coupled to an anharmonic oscillator. https://arxiv.org/abs/2012.04413

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