{
  "id": "2505.10712",
  "version": "v1",
  "published": "2025-05-15T21:21:57.000Z",
  "updated": "2025-05-15T21:21:57.000Z",
  "title": "Extinction and propagation phenomena for semilinear parabolic equations on metric trees",
  "authors": [
    "Fabio Punzo",
    "Alberto Tesei"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We study the Cauchy-Neumann problem on a regular metric tree T for the semilinear heat equation with forcing term of KPP type. Propagation and extinction of solutions, as well as asymptotical speed of propagation are investigated.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2025-05-15T21:21:57.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "semilinear parabolic equations",
      "propagation phenomena",
      "extinction",
      "semilinear heat equation",
      "regular metric tree"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}