On spectral and orbital stability for the Klein--Gordon equation coupled to an anharmonic oscillator
Analysis of PDEs
2020-12-09 v1
Abstract
We obtain explicit characterization of spectral and orbital stability of solitary wave solutions to the -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.
Keywords
Cite
@article{arxiv.2012.04413,
title = {On spectral and orbital stability for the Klein--Gordon equation coupled to an anharmonic oscillator},
author = {Andrew Comech and Elena A. Kopylova},
journal= {arXiv preprint arXiv:2012.04413},
year = {2020}
}
Comments
23 pages