{
  "id": "1506.03252",
  "version": "v1",
  "published": "2015-06-10T10:59:13.000Z",
  "updated": "2015-06-10T10:59:13.000Z",
  "title": "Rough differential equations on Besov spaces",
  "authors": [
    "David J. Prömel",
    "Mathias Trabs"
  ],
  "comment": "37 pages",
  "categories": [
    "math.PR",
    "math.FA"
  ],
  "abstract": "Rough differential equations are solved for signals in general Besov spaces unifying in particular the known results in H\\\"older and p-variation topology. To this end the paracontrolled distribution approach, which has been introduced by Gubinelli, Imkeller and Perkowski [\"Paracontrolled distribution and singular PDEs\" to appear in Forum of Mathematics, Pi] to analyze singular stochastic PDEs, is extended from H\\\"older to Besov spaces. As an application we solve stochastic differential equations driven by random functions in Besov spaces and Gaussian processes in a pathwise sense.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-06-10T10:59:13.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "34A34",
      "60H10",
      "30H25",
      "46N20",
      "46N30"
    ],
    "keywords": [
      "rough differential equations",
      "stochastic differential equations driven",
      "analyze singular stochastic pdes",
      "general besov spaces",
      "p-variation topology"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 37,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}