{
  "id": "math/0507168",
  "version": "v2",
  "published": "2005-07-08T03:36:24.000Z",
  "updated": "2006-02-23T06:52:09.000Z",
  "title": "The initial-boundary value problem for the Korteweg-de Vries equation",
  "authors": [
    "Justin Holmer"
  ],
  "comment": "40 pages, no figures",
  "categories": [
    "math.AP"
  ],
  "abstract": "We prove local well-posedness of the initial-boundary value problem for the Korteweg-de Vries equation on the right half-line, left half-line, and line segment, in the low regularity setting. This is accomplished by introducing an analytic family of boundary forcing operators, extending the techniques of Colliander-Kenig (2002).",
  "revisions": [
    {
      "version": "v2",
      "updated": "2006-02-23T06:52:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q53"
    ],
    "keywords": [
      "korteweg-de vries equation",
      "initial-boundary value problem",
      "boundary forcing operators",
      "local well-posedness",
      "low regularity"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 40,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......7168H"
    }
  }
}