{
  "id": "1705.03105",
  "version": "v1",
  "published": "2017-05-08T22:16:16.000Z",
  "updated": "2017-05-08T22:16:16.000Z",
  "title": "A Nekhoroshev type theorem for the nonlinear Klein-Gordon equation with potential",
  "authors": [
    "S. Pasquali"
  ],
  "categories": [
    "math.AP",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We study the one-dimensional nonlinear Klein-Gordon (NLKG) equation with a convolution potential, and we prove that solutions with small analytic norm remain small for exponentially 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": "2017-05-08T22:16:16.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q40",
      "37K45",
      "37K55"
    ],
    "keywords": [
      "nonlinear klein-gordon equation",
      "nekhoroshev type theorem",
      "small analytic norm remain small",
      "one-dimensional nonlinear klein-gordon"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}