{
  "id": "math/0612518",
  "version": "v1",
  "published": "2006-12-18T14:39:39.000Z",
  "updated": "2006-12-18T14:39:39.000Z",
  "title": "On the semi-classical limit for the nonlinear Schrodinger equation",
  "authors": [
    "Rémi Carles"
  ],
  "comment": "22 pages",
  "journal": "Stationary and Time Dependent Gross-Pitaevskii Equations, (2008) 105-127",
  "categories": [
    "math.AP",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We review some results concerning the semi-classical limit for the nonlinear Schrodinger equation, with or without an external potential. We consider initial data which are either of the WKB type, or very concentrated as the semi-classical parameter goes to zero. We sketch the techniques used according to various frameworks, and point out some open problems.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-12-18T14:39:39.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35A35",
      "35B05",
      "35B40",
      "35Q55",
      "81Q20"
    ],
    "keywords": [
      "nonlinear schrodinger equation",
      "semi-classical limit",
      "open problems",
      "wkb type",
      "initial data"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math.....12518C"
    }
  }
}