{
  "id": "2103.10181",
  "version": "v1",
  "published": "2021-03-18T11:32:11.000Z",
  "updated": "2021-03-18T11:32:11.000Z",
  "title": "Gradient Estimate for the Heat Kernel on the Sierpiński Cable System",
  "authors": [
    "Meng Yang"
  ],
  "comment": "21 pages",
  "categories": [
    "math.AP",
    "math.DG",
    "math.FA",
    "math.MG"
  ],
  "abstract": "We give gradient estimate for the heat kernel on the Sierpi\\'nski cable system where the curvature assumption and the reverse H\\\"older inequality do not hold. This gives the first sub-Gaussian gradient estimate for the heat kernel.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-03-18T11:32:11.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "28A80",
      "35K08"
    ],
    "keywords": [
      "heat kernel",
      "sierpiński cable system",
      "first sub-gaussian gradient estimate",
      "curvature assumption",
      "sierpinski cable system"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}