{
  "id": "1011.0132",
  "version": "v1",
  "published": "2010-10-31T07:51:03.000Z",
  "updated": "2010-10-31T07:51:03.000Z",
  "title": "Global dynamics above the ground state for the nonlinear Klein-Gordon equation without a radial assumption",
  "authors": [
    "Kenji Nakanishi",
    "Wilhelm Schlag"
  ],
  "comment": "40 pages",
  "categories": [
    "math.AP",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We extend our previous result on the focusing cubic Klein-Gordon equation in three dimensions to the non-radial case, giving a complete classification of global dynamics of all solutions with energy at most slightly above that of the ground state.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-10-31T07:51:03.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35L70",
      "35Q55"
    ],
    "keywords": [
      "nonlinear klein-gordon equation",
      "ground state",
      "global dynamics",
      "radial assumption",
      "focusing cubic klein-gordon equation"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1007/s00205-011-0462-7",
      "journal": "Archive for Rational Mechanics and Analysis",
      "year": 2012,
      "month": "Mar",
      "volume": 203,
      "number": 3,
      "pages": 809
    },
    "note": {
      "typesetting": "TeX",
      "pages": 40,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012ArRMA.203..809N"
    }
  }
}