{
  "annotation_id": "fb284402-f27c-4680-b9ee-2aadfd58e4da",
  "date_created": "2026-02-17T05:53:20.112000Z",
  "date_modified": "2026-02-17T05:53:20.112000Z",
  "file_hash": "7f469b716f782ecbfdcc5a64337699000b7587c43e82bc2a5a9463520c900905",
  "private": false,
  "record": {
    "abstract": "In this manuscript we deal with a class of nonlinear Fokker-Planck equations with the following structure \\[ \\partial_t u - \\div\\big(M\\nabla u+ E h(u)\\big)=0, \\] with $M$ a bounded elliptic matrix, $E$ a vector field in a suitable Lebesgue space, and $h(u)$ featuring a superlinear growth for $u$ large. We provide existence results of $C([0,T),L^1)$ distributional solutions to initial-boundary value problems related to the equation above together with some qualitative properties of solutions.",
    "arxiv_id": "2601.09341",
    "authors": [
      "Stefano Buccheri",
      "Fernando Farroni",
      "Gabriella Zecca"
    ],
    "categories": [
      "math.AP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "title": "Well-posedness results for superlinear Fokker-Planck equations",
    "url": "https://arxiv.org/abs/2601.09341",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "8a485ada-7042-47d9-be92-b2a16d24eef6",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}