{
  "id": "0801.2129",
  "version": "v1",
  "published": "2008-01-14T18:28:52.000Z",
  "updated": "2008-01-14T18:28:52.000Z",
  "title": "Well-posedness of the Fifth Order Kadomtsev-Petviashvili I Equation in Anisotropic Sobolev Spaces with Nonnegative Indices",
  "authors": [
    "Junfeng Li",
    "Jie Xiao"
  ],
  "comment": "17pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper we establish the local and global well-posedness of the real valued fifth order Kadomstev-Petviashvili I equation in the anisotropic Sobolev spaces with nonnegative indices. In particular, our local well-posedness improves Saut-Tzvetkov's one and our global well-posedness gives an affirmative answer to Saut-Tzvetkov's $L^2$-data conjecture.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-01-14T18:28:52.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q53",
      "35G25"
    ],
    "keywords": [
      "anisotropic sobolev spaces",
      "fifth order kadomtsev-petviashvili",
      "nonnegative indices",
      "real valued fifth order kadomstev-petviashvili",
      "global well-posedness"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}