{
  "id": "0911.0290",
  "version": "v1",
  "published": "2009-11-02T11:44:51.000Z",
  "updated": "2009-11-02T11:44:51.000Z",
  "title": "Log-Harnack Inequality for Stochastic Differential Equations in Hilbert Spaces and its Consequences",
  "authors": [
    "Micahel Röckner",
    "Feng-Yu Wang"
  ],
  "journal": "Infinite Dimensional Analysis Quantum Probability and Related Topics 2010",
  "categories": [
    "math.PR",
    "math.AP"
  ],
  "abstract": "A logarithmic type Harnack inequality is established for the semigroup of solutions to a stochastic differential equation in Hilbert spaces with non-additive noise. As applications, the strong Feller property as well as the entropy-cost inequality for the semigroup are derived with respect to the corresponding distance (cost function).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-11-02T11:44:51.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "stochastic differential equation",
      "hilbert spaces",
      "log-harnack inequality",
      "logarithmic type harnack inequality",
      "consequences"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0911.0290R"
    }
  }
}