{
  "id": "1703.01618",
  "version": "v1",
  "published": "2017-03-05T16:08:36.000Z",
  "updated": "2017-03-05T16:08:36.000Z",
  "title": "Long time behaviour of the nonlinear Klein-Gordon equation in the nonrelativistic limit, II",
  "authors": [
    "Stefano Pasquali"
  ],
  "categories": [
    "math.AP",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We study the nonlinear Klein-Gordon (NLKG) equation with a convolution potential on $[0,\\pi]$, and we prove that solutions with small $H^s$ norm remain small for long times. The result is uniform with respect to $c \\geq 1$, which however has to belong to a set of large measure.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-03-05T16:08:36.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "nonlinear klein-gordon equation",
      "long time behaviour",
      "nonrelativistic limit",
      "norm remain small",
      "convolution potential"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}