{
  "id": "1703.03629",
  "version": "v1",
  "published": "2017-03-10T11:19:14.000Z",
  "updated": "2017-03-10T11:19:14.000Z",
  "title": "Carleman estimates for forward and backward stochastic fourth order Schrödinger equations and their applications",
  "authors": [
    "Peng Gao"
  ],
  "categories": [
    "math.OC"
  ],
  "abstract": "In this paper, we establish the Carleman estimates for forward and backward stochastic fourth order Schr\\\"{o}dinger equations, on basis of which, we can obtain the observability, unique continuation property and the exact controllability for the forward and backward stochastic fourth order Schr\\\"{o}dinger equations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-03-10T11:19:14.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "stochastic fourth order schrödinger equations",
      "backward stochastic fourth order schrödinger",
      "carleman estimates",
      "applications"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}