{
  "id": "1907.02352",
  "version": "v1",
  "published": "2019-07-04T12:15:59.000Z",
  "updated": "2019-07-04T12:15:59.000Z",
  "title": "Foundations of the theory of semilinear stochastic partial differential equations",
  "authors": [
    "Stefan Tappe"
  ],
  "comment": "36 pages",
  "journal": "International Journal of Stochastic Analysis, vol. 2013, Article ID 798549, 25 pages",
  "categories": [
    "math.PR",
    "math.FA"
  ],
  "abstract": "The goal of this review article is to provide a survey about the foundations of semilinear stochastic partial differential equations. In particular, we provide a detailed study of the concepts of strong, weak and mild solutions, establish their connections, and review a standard existence- and uniqueness result. The proof of the existence result is based on a slightly extended version of the Banach fixed point theorem.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-07-04T12:15:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60H15",
      "60G17"
    ],
    "keywords": [
      "semilinear stochastic partial differential equations",
      "foundations",
      "banach fixed point theorem",
      "mild solutions",
      "uniqueness result"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 36,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}