{
  "id": "math/0605547",
  "version": "v2",
  "published": "2006-05-19T12:18:25.000Z",
  "updated": "2006-05-22T10:56:06.000Z",
  "title": "Sharp well-posedness for Kadomtsev-Petviashvili-Burgers (KPBII) equation in $R^2$",
  "authors": [
    "Bassam Kojok"
  ],
  "comment": "31 pages",
  "categories": [
    "math.AP",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We prove global well-posedness for the Cauchy problem associated with the Kadomotsev-Petviashvili-Burgers equation (KPBII) in $\\mathbb R^2$ when the initial value belongs to the anisotropic Sobolev space $H^{s_1,s_2}(\\mathbb R^2)$ for all $s_1>-\\frac12$ and $s_2\\geq0$. On the other hand, we prove in some sense that our result is sharp.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2006-05-22T10:56:06.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q53",
      "35A07",
      "35B30"
    ],
    "keywords": [
      "sharp well-posedness",
      "kadomtsev-petviashvili-burgers",
      "initial value belongs",
      "anisotropic sobolev space",
      "global well-posedness"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1016/j.jde.2007.08.010",
      "journal": "Journal of Differential Equations",
      "year": 2007,
      "volume": 242,
      "number": 2,
      "pages": 211
    },
    "note": {
      "typesetting": "TeX",
      "pages": 31,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007JDE...242..211K"
    }
  }
}