{
  "id": "math/0604192",
  "version": "v2",
  "published": "2006-04-08T21:45:49.000Z",
  "updated": "2006-04-18T17:21:18.000Z",
  "title": "Persistence Properties and Unique Continuation of solutions of the Camassa-Holm equation",
  "authors": [
    "A. Alexandrou Himonas",
    "Gerard Misiołek",
    "Gustavo Ponce",
    "Yong Zhou"
  ],
  "categories": [
    "math.AP",
    "math-ph",
    "math.MP"
  ],
  "abstract": "It is shown that a strong solution of the Camassa-Holm equation, initially decaying exponentially together with its spacial derivative, must be identically equal to zero if it also decays exponentially at a later time. In particular, a strong solution of the Cauchy problem with compact initial profile can not be compactly supported at any later time unless it is the zero solution.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2006-04-18T17:21:18.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q53"
    ],
    "keywords": [
      "camassa-holm equation",
      "persistence properties",
      "unique continuation",
      "strong solution",
      "zero solution"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......4192A"
    }
  }
}