{
  "id": "1406.3947",
  "version": "v2",
  "published": "2014-06-16T09:41:26.000Z",
  "updated": "2014-08-01T08:50:01.000Z",
  "title": "Global existence of small amplitude solutions to one-dimensional nonlinear Klein-Gordon systems with different masses",
  "authors": [
    "Donghyun Kim"
  ],
  "comment": "17 pages arXiv admin note: text overlap with arXiv:1307.7890; and text overlap with arXiv:1104.1354 by other authors",
  "categories": [
    "math.AP"
  ],
  "abstract": "We study the Cauchy problem for systems of cubic nonlinear Klein-Gordon equations with different masses in one space dimension. Under a suitable structural condition on the nonlinearity, we will show that the solution exists globally and decays of the rate $O(t^{-(1/2-1/p)})$ in $L^p$, $p\\in[2,\\infty]$ as $t$ tends to infinity even in the case of mass resonance, if the Cauchy data are sufficiently small, smooth and compactly supported.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-08-01T08:50:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35L70",
      "35B40",
      "35L15"
    ],
    "keywords": [
      "one-dimensional nonlinear klein-gordon systems",
      "small amplitude solutions",
      "global existence",
      "cubic nonlinear klein-gordon equations",
      "structural condition"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1406.3947K"
    }
  }
}