{
  "id": "1102.5257",
  "version": "v2",
  "published": "2011-02-25T14:32:22.000Z",
  "updated": "2012-05-25T17:17:59.000Z",
  "title": "Uniqueness in law for parabolic SPDEs and infinite-dimensional SDEs",
  "authors": [
    "Richard F. Bass",
    "Edwin A. Perkins"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "We prove uniqueness in law for a class of parabolic stochastic partial differential equations in an interval driven by a functional A(u) of the temperature u times a space-time white noise. The functional A(u) is H\\\"older continuous in u of order greater than 1/2. Our method involves looking at an associated system of infinite-dimensional stochastic differential equations and we obtain a uniqueness result for such systems.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-05-25T17:17:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60H15"
    ],
    "keywords": [
      "parabolic spdes",
      "infinite-dimensional sdes",
      "uniqueness",
      "parabolic stochastic partial differential equations",
      "infinite-dimensional stochastic differential equations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1102.5257B"
    }
  }
}