{
  "id": "1707.07254",
  "version": "v1",
  "published": "2017-07-23T07:05:59.000Z",
  "updated": "2017-07-23T07:05:59.000Z",
  "title": "Existence of absolutely continuous solutions for continuity equations in Hilbert spaces",
  "authors": [
    "Giuseppe Da Prato",
    "Franco Flandoli",
    "Michael Roeckner"
  ],
  "comment": "20 pages",
  "categories": [
    "math.PR"
  ],
  "abstract": "We prove existence of solutions to continuity equations in a separable Hilbert space. We look for solutions which are absolutely continuous with respect to a reference measure \\gamma which is Fomin-differentiable with exponentially integrable partial logarithmic derivatives",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-07-23T07:05:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35F05",
      "58D20",
      "60H07"
    ],
    "keywords": [
      "continuity equations",
      "absolutely continuous solutions",
      "exponentially integrable partial logarithmic derivatives",
      "reference measure",
      "separable hilbert space"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}