{
  "id": "math/0505479",
  "version": "v2",
  "published": "2005-05-23T16:39:50.000Z",
  "updated": "2005-07-28T13:53:38.000Z",
  "title": "Global well-posedness in the Energy space for the Benjamin-Ono equation on the circle",
  "authors": [
    "Luc Molinet"
  ],
  "comment": "30 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "We prove that the Benjamin-Ono equation is well-posed in $ H^{1/2}(\\T) $. This leads to a global well-posedness result in $ H^{1/2}(\\T) $ thanks to the energy conservation.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2005-07-28T13:53:38.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35A05",
      "35Q53"
    ],
    "keywords": [
      "benjamin-ono equation",
      "energy space",
      "global well-posedness result",
      "energy conservation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 30,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......5479M"
    }
  }
}