{
  "id": "math/0501408",
  "version": "v2",
  "published": "2005-01-24T12:37:07.000Z",
  "updated": "2005-10-24T09:26:43.000Z",
  "title": "The Cauchy problem for a Schroedinger - Korteweg - de Vries system with rough data",
  "authors": [
    "Hartmut Pecher"
  ],
  "comment": "25 pages. Minor corrections have been made",
  "categories": [
    "math.AP"
  ],
  "abstract": "The Cauchy problem for a coupled system of the Schroedinger and the KdV equation is shown to be globally well-posed for data with infinite energy. The proof uses refined bilinear Strichartz estimates and the I-method introduced by Colliander, Keel, Staffilani, Takaoka, and Tao.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2005-10-24T09:26:43.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q53",
      "35Q55"
    ],
    "keywords": [
      "cauchy problem",
      "rough data",
      "vries system",
      "schroedinger",
      "refined bilinear strichartz estimates"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......1408P"
    }
  }
}