{
  "id": "1807.03922",
  "version": "v1",
  "published": "2018-07-11T01:47:34.000Z",
  "updated": "2018-07-11T01:47:34.000Z",
  "title": "Harnack inequalities for a class of semilinear stochastic partial differential equations",
  "authors": [
    "Rangrang Zhang"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "In this article, we study a class of semilinear stochastic partial differential equations driven by an additive noise. We establish Harnack inequalities for the semigroup associated with the solution by using coupling method, which implies the strong Feller property. The main results can be applied to SPDEs of various types such as stochastic heat equation and Fokker-Planck equation perturbed by space-time white noise.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-07-11T01:47:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60H15",
      "35B65"
    ],
    "keywords": [
      "semilinear stochastic partial differential equations",
      "harnack inequalities",
      "stochastic partial differential equations driven",
      "space-time white noise",
      "stochastic heat equation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}