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arXiv:2012.04413 [math.AP]AbstractReferencesReviewsResources

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

Andrew Comech, Elena A. Kopylova

Published 2020-12-08Version 1

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.

Comments: 23 pages
Categories: math.AP
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