{
  "id": "1011.6105",
  "version": "v1",
  "published": "2010-11-28T23:36:43.000Z",
  "updated": "2010-11-28T23:36:43.000Z",
  "title": "Calderon-Type Uniqueness Theorem for Stochastic Partial Differential Equations",
  "authors": [
    "Xu Liu",
    "Xu Zhang"
  ],
  "comment": "4",
  "categories": [
    "math.PR",
    "math.AP"
  ],
  "abstract": "In this Note, we present a Calder\\'on-type uniqueness theorem on the Cauchy problem of stochastic partial differential equations. To this aim, we introduce the concept of stochastic pseudo-differential operators, and establish their boundedness and other fundamental properties. The proof of our uniqueness theorem is based on a new Carleman-type estimate.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-11-28T23:36:43.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "stochastic partial differential equations",
      "calderon-type uniqueness theorem",
      "stochastic pseudo-differential operators",
      "cauchy problem",
      "fundamental properties"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1244707,
      "adsabs": "2010arXiv1011.6105L"
    }
  }
}