{
  "id": "1705.09744",
  "version": "v1",
  "published": "2017-05-27T00:05:06.000Z",
  "updated": "2017-05-27T00:05:06.000Z",
  "title": "The Cauchy problem for the fractional Kadomtsev-Petviashvili equations",
  "authors": [
    "Felipe Linares",
    "Didier Pilod",
    "Jean-Claude Saut"
  ],
  "comment": "42 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "The aim of this paper is to prove various ill-posedness and well-posedness results on the Cauchy problem associated to a class of fractional Kadomtsev-Petviashvili (KP) equations including the KP version of the Benjamin-Ono and Intermediate Long Wave equations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-05-27T00:05:06.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q53",
      "35Q35",
      "35A01"
    ],
    "keywords": [
      "fractional kadomtsev-petviashvili equations",
      "cauchy problem",
      "intermediate long wave equations",
      "well-posedness results",
      "kp version"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 42,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}