{
  "id": "2012.04413",
  "version": "v1",
  "published": "2020-12-08T13:11:51.000Z",
  "updated": "2020-12-08T13:11:51.000Z",
  "title": "On spectral and orbital stability for the Klein--Gordon equation coupled to an anharmonic oscillator",
  "authors": [
    "Andrew Comech",
    "Elena A. Kopylova"
  ],
  "comment": "23 pages",
  "categories": [
    "math.AP"
  ],
  "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-12-08T13:11:51.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "orbital stability",
      "anharmonic oscillator",
      "solitary wave solutions",
      "invariant klein-gordon equation",
      "explicit characterization"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}