{
  "id": "1412.7002",
  "version": "v1",
  "published": "2014-12-19T13:20:55.000Z",
  "updated": "2014-12-19T13:20:55.000Z",
  "title": "On the uniqueness of solutions to continuity equations",
  "authors": [
    "V. I. Bogachev",
    "G. Da Prato",
    "M. Röckner",
    "S. V. Shaposhnikov"
  ],
  "categories": [
    "math.AP",
    "math.FA"
  ],
  "abstract": "We obtain sufficient conditions for the uniqueness of solutions to the Cauchy problem for the continuity equation in classes of measures that need not be absolutely continuous.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-12-19T13:20:55.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35K65",
      "35F05"
    ],
    "keywords": [
      "continuity equation",
      "uniqueness",
      "sufficient conditions"
    ],
    "publication": {
      "doi": "10.1016/j.jde.2015.05.003",
      "journal": "Journal of Differential Equations",
      "year": 2015,
      "month": "Oct",
      "volume": 259,
      "number": 8,
      "pages": 3854
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015JDE...259.3854B"
    }
  }
}