{
  "id": "math/0112025",
  "version": "v3",
  "published": "2001-12-03T16:48:48.000Z",
  "updated": "2001-12-06T01:00:58.000Z",
  "title": "On solutions for the Kadomtsev-Petviashvili I equation",
  "authors": [
    "J. Colliander",
    "C. Kenig",
    "G. Staffilani"
  ],
  "comment": "fixed mistaken replacement with the proper file. The paper is to appear in Moscow Mathematical Journal",
  "categories": [
    "math.AP"
  ],
  "abstract": "Oscillatory integral techniques are used to study the well-posedness of the KP-I equation for initial data that are small with respect to the norm of a weighted Sobolev space involving derivatives of total order no larger than 2.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2001-12-06T01:00:58.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q53",
      "35Q55"
    ],
    "keywords": [
      "kadomtsev-petviashvili",
      "oscillatory integral techniques",
      "initial data",
      "weighted sobolev space",
      "total order"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2001math.....12025C"
    }
  }
}