{
  "id": "0707.2722",
  "version": "v1",
  "published": "2007-07-18T13:30:10.000Z",
  "updated": "2007-07-18T13:30:10.000Z",
  "title": "A remark on global well-posedness below L^2 for the gKdV-3 equation",
  "authors": [
    "Axel Gruenrock",
    "Mahendra Panthee",
    "Jorge Drumond Silva"
  ],
  "comment": "6 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "The I-method in its first version as developed by Colliander et al. is applied to prove that the Cauchy-problem for the generalised Korteweg-de Vries equation of order three (gKdV-3) is globally well-posed for large real-valued data in the Sobolev space H^s, provided s>-1/42.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-07-18T13:30:10.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q53"
    ],
    "keywords": [
      "global well-posedness",
      "generalised korteweg-de vries equation",
      "first version",
      "large real-valued data",
      "sobolev space"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0707.2722G"
    }
  }
}