{
  "id": "1310.0976",
  "version": "v1",
  "published": "2013-10-03T13:31:57.000Z",
  "updated": "2013-10-03T13:31:57.000Z",
  "title": "On Liouville transport equation with a force field in $BV_{loc}$",
  "authors": [
    "Maxime Hauray"
  ],
  "comment": "9 pages",
  "journal": "Comm. Partial Differential Equations 29 (2004), no. 1-2, 207--217",
  "doi": "10.1081/PDE-120028850",
  "categories": [
    "math.AP",
    "math.CA"
  ],
  "abstract": "We prove the existence and uniqueness of renormalized solutions of the Liouville equation for $n$ particles with a interaction potential in $BV_{loc}$ execpt at the origin. This implies the existence and uniqueness of a a.e. flow solution of the associated ODE.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-10-03T13:31:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35R05",
      "35F99"
    ],
    "keywords": [
      "liouville transport equation",
      "force field",
      "uniqueness",
      "liouville equation",
      "flow solution"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1310.0976H"
    }
  }
}