{
  "id": "math/0503366",
  "version": "v1",
  "published": "2005-03-17T18:24:42.000Z",
  "updated": "2005-03-17T18:24:42.000Z",
  "title": "Nonuniqueness of weak solutions of the nonlinear Schroedinger equation",
  "authors": [
    "Michael Christ"
  ],
  "comment": "13 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "Generalized solutions of the Cauchy problem for the one-dimensional periodic nonlinear Schr\\\"odinger equation, with certain nonlinearities, are not unique. For any $s<0$ there exist nonzero generalized solutions varying continuously in the Sobolev space $H^s$, with identically vanishing initial data.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-03-17T18:24:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q55"
    ],
    "keywords": [
      "nonlinear schroedinger equation",
      "weak solutions",
      "generalized solutions varying",
      "nonuniqueness",
      "one-dimensional periodic nonlinear"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......3366C"
    }
  }
}