{
  "id": "1812.04591",
  "version": "v1",
  "published": "2018-12-11T18:22:45.000Z",
  "updated": "2018-12-11T18:22:45.000Z",
  "title": "Ergodicity for a class of semilinear stochastic partial differential equations",
  "authors": [
    "Zhao Dong",
    "Rangrang Zhang"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "In this paper, we establish the existence and uniqueness of invariant measures for a class of semilinear stochastic partial differential equations driven by multiplicative noise on a bounded domain. The main results can be applied to SPDEs of various types such as the stochastic Burgers equation and the reaction-diffusion equations perturbed by space-time white noise.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-12-11T18:22:45.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60H15",
      "35B40",
      "35R60",
      "37A25"
    ],
    "keywords": [
      "semilinear stochastic partial differential equations",
      "stochastic partial differential equations driven",
      "ergodicity",
      "space-time white noise",
      "stochastic burgers equation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}