{
  "id": "math/0204244",
  "version": "v2",
  "published": "2002-04-19T13:57:27.000Z",
  "updated": "2003-02-13T03:38:27.000Z",
  "title": "Low regularity solutions for the Kadomtsev-Petviashvili I equation",
  "authors": [
    "J. Colliander",
    "C. Kenig",
    "G. Staffilani"
  ],
  "comment": "clarified version emerging from careful reading and input from referees",
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper we obtain local in time existence and (suitable) uniqueness and continuous dependence for the KP-I equation for small data in the intersection of the energy space and a natural weighted $L^{2}$ space.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2003-02-13T03:38:27.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q53",
      "35Q55",
      "42B35"
    ],
    "keywords": [
      "low regularity solutions",
      "kadomtsev-petviashvili",
      "time existence",
      "kp-i equation",
      "small data"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math......4244C"
    }
  }
}