{
  "id": "2103.03812",
  "version": "v1",
  "published": "2021-03-05T17:25:08.000Z",
  "updated": "2021-03-05T17:25:08.000Z",
  "title": "Absolute continuity of the solution to the stochastic Burgers equation",
  "authors": [
    "Christian Olivera Ciprian Tudor"
  ],
  "categories": [
    "math.PR",
    "math.AP"
  ],
  "abstract": "We prove the existence and the Besov regularity of the density of the solution to a general parabolic SPDE which includes the stochastic Burgers equation on an unbounded domain. We use an elementary approach based on the fractional integration by parts.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-03-05T17:25:08.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "stochastic burgers equation",
      "absolute continuity",
      "general parabolic spde",
      "besov regularity",
      "elementary approach"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}