{
  "id": "1509.04829",
  "version": "v1",
  "published": "2015-09-16T07:06:04.000Z",
  "updated": "2015-09-16T07:06:04.000Z",
  "title": "A Schauder estimate for stochastic PDEs",
  "authors": [
    "Kai Du",
    "Jiakun Liu"
  ],
  "comment": "This is an abridged version. A full version is submitted separately",
  "categories": [
    "math.AP",
    "math.PR"
  ],
  "abstract": "Considering stochastic partial differential equations of parabolic type with random coefficients in vector-valued H\\\"older spaces, we obtain a sharp Schauder estimate. As an application, the existence and uniqueness of solution to the Cauchy problem is also proved.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-09-16T07:06:04.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "stochastic pdes",
      "considering stochastic partial differential equations",
      "sharp schauder estimate",
      "cauchy problem",
      "parabolic type"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150904829D"
    }
  }
}