{
  "id": "1509.00545",
  "version": "v1",
  "published": "2015-09-02T02:17:21.000Z",
  "updated": "2015-09-02T02:17:21.000Z",
  "title": "Null controllability of some degenerate wave equations",
  "authors": [
    "Muming Zhang",
    "Hang Gao"
  ],
  "comment": "15 pages, 2 figures",
  "categories": [
    "math.OC"
  ],
  "abstract": "This paper is devoted to a study of the null controllability problems for one-dimensional linear degenerate wave equations through a boundary controller. First, the well-posedness of linear degenerate wave equations is discussed. Then the null controllability of some degenerate wave equations is established, when a control acts on the non-degenerate boundary. Different from the known controllability results in the case that a control acts on the degenerate boundary, any initial value in state space is controllable in this case. Also, an explicit expression for the controllability time is given. Furthermore, a counterexample on the controllability is given for some other degenerate wave equations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-09-02T02:17:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "93B05",
      "35L80"
    ],
    "keywords": [
      "one-dimensional linear degenerate wave equations",
      "control acts",
      "null controllability problems",
      "state space",
      "initial value"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}