{
  "id": "1909.04464",
  "version": "v1",
  "published": "2019-09-10T13:18:45.000Z",
  "updated": "2019-09-10T13:18:45.000Z",
  "title": "Uniqueness for nonlinear Fokker-Planck equations and weak uniqueness for McKean-Vlasov SDEs",
  "authors": [
    "Viorel Barbu",
    "Michael Röckner"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "One proves the uniqueness of distributional solutions to nonlinear Fokker--Planck equations with monotone diffusion term and derive as a consequence (restricted) uniqueness in law for the corresponding McKean--Vlasov stochastic differential equation (SDE).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-09-10T13:18:45.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60H30",
      "60H10",
      "60G46",
      "35C99"
    ],
    "keywords": [
      "nonlinear fokker-planck equations",
      "mckean-vlasov sdes",
      "weak uniqueness",
      "corresponding mckean-vlasov stochastic differential equation",
      "monotone diffusion term"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}