{
  "id": "2207.03744",
  "version": "v1",
  "published": "2022-07-08T08:30:43.000Z",
  "updated": "2022-07-08T08:30:43.000Z",
  "title": "The Fujita exponent for a semilinear heat equation with forcing term on Heisenberg Group",
  "authors": [
    "Meiirkhan B. Borikhanov",
    "Michael Ruzhansky",
    "Berikbol T. Torebek"
  ],
  "comment": "16 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper, we study a semilinear heat equation with forcing term depending on space. The local existence, the blow up and global in time solutions are obtained. Our technique of proof is based on methods of test functions and the comparison principle. In addition, we give an upper bound estimate on the lifespan of blow up solutions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-07-08T08:30:43.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35R03",
      "35B33",
      "35B51",
      "35B44"
    ],
    "keywords": [
      "semilinear heat equation",
      "forcing term",
      "heisenberg group",
      "fujita exponent",
      "upper bound estimate"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}