{
  "id": "math/0601215",
  "version": "v1",
  "published": "2006-01-10T13:56:04.000Z",
  "updated": "2006-01-10T13:56:04.000Z",
  "title": "Well-posedness in H^1 for the (generalized) Benjamin-Ono equation on the circle",
  "authors": [
    "Luc Molinet",
    "Francis Ribaud"
  ],
  "comment": "27 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "We prove the local well posedness of the Benjamin-Ono equation and the generalized Benjamin-Ono equation in $ H^1(\\T) $. This leads to a global well-posedness result in $ H^1(\\T)$ for the Benjamin-Ono equation.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-01-10T13:56:04.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35A05",
      "35Q53"
    ],
    "keywords": [
      "global well-posedness result",
      "generalized benjamin-ono equation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 27,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......1215M"
    }
  }
}