{
  "id": "1906.09839",
  "version": "v1",
  "published": "2019-06-24T10:28:35.000Z",
  "updated": "2019-06-24T10:28:35.000Z",
  "title": "Higher order regularity of nonlinear Fokker-Planck PDEs with respect to the measure component",
  "authors": [
    "Alvin Tse"
  ],
  "categories": [
    "math.AP",
    "math.PR"
  ],
  "abstract": "In this article, we establish a general formula for higher order linear functional derivatives for the composition of an arbitrary smooth functional on the 1-Wasserstein space with the solution of a Fokker-Planck PDE. This formula has important links with the theory of propagation of chaos and mean-field games.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-06-24T10:28:35.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35R06",
      "60H30",
      "65C35"
    ],
    "keywords": [
      "higher order regularity",
      "nonlinear fokker-planck pdes",
      "measure component",
      "higher order linear functional derivatives"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}