{
  "id": "1106.1412",
  "version": "v1",
  "published": "2011-06-07T18:41:21.000Z",
  "updated": "2011-06-07T18:41:21.000Z",
  "title": "Control for Schroedinger operators on tori",
  "authors": [
    "Nicolas Burq",
    "Maciej Zworski"
  ],
  "comment": "2 figures",
  "categories": [
    "math.AP",
    "cs.SY",
    "math-ph",
    "math.MP",
    "math.OC"
  ],
  "abstract": "A well known result of Jaffard states that an arbitrary region on a torus controls, in the L2 sense, solutions of the free stationary and dynamical Schroedinger equations. In this note we show that the same result is valid in the presence of a smooth time-independent potential. The methods apply to continuous potentials as well and we conjecture that the L2 control is valid for any bounded time dependent potential.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-06-07T18:41:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q41",
      "35Q93",
      "49J20",
      "81Q93"
    ],
    "keywords": [
      "schroedinger operators",
      "bounded time dependent potential",
      "smooth time-independent potential",
      "arbitrary region",
      "torus controls"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1106.1412B"
    }
  }
}