{
  "id": "1005.0998",
  "version": "v1",
  "published": "2010-05-06T13:52:11.000Z",
  "updated": "2010-05-06T13:52:11.000Z",
  "title": "A Trotter product formula for gradient flows in metric spaces",
  "authors": [
    "Philippe Clément",
    "Jan Maas"
  ],
  "comment": "20 pages, submitted for publication",
  "categories": [
    "math.AP",
    "math.FA"
  ],
  "abstract": "We prove a Trotter product formula for gradient flows in metric spaces. This result is applied to establish convergence in the L^2-Wasserstein metric of the splitting method for some Fokker-Planck equations and porous medium type equations perturbed by a potential.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-05-06T13:52:11.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "49Q20",
      "35A15",
      "47H20",
      "82C31"
    ],
    "keywords": [
      "trotter product formula",
      "gradient flows",
      "metric spaces",
      "porous medium type equations",
      "fokker-planck equations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1005.0998C"
    }
  }
}