{
  "id": "1307.7890",
  "version": "v1",
  "published": "2013-07-30T09:44:21.000Z",
  "updated": "2013-07-30T09:44:21.000Z",
  "title": "Remarks on decay of small solutions to systems of Klein-Gordon equations with dissipative nonlinearities",
  "authors": [
    "Donghyun Kim",
    "Hideaki Sunagawa"
  ],
  "comment": "17 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "We consider the Cauchy problem for systems of cubic nonlinear Klein-Gordon equations in one space dimension. Under a suitable structural condition on the nonlinearity, we will show that the small amplitude solution gains an additional logarithmic decay in comparison with the free evolution in the sense of $L^p$, $2\\le p \\le \\infty$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-07-30T09:44:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35L70",
      "35B40",
      "35L15"
    ],
    "keywords": [
      "nonlinearity",
      "small solutions",
      "dissipative nonlinearities",
      "cubic nonlinear klein-gordon equations",
      "small amplitude solution gains"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1307.7890K"
    }
  }
}