{
  "id": "1911.02735",
  "version": "v1",
  "published": "2019-11-07T03:06:00.000Z",
  "updated": "2019-11-07T03:06:00.000Z",
  "title": "Time analyticity for heat equation on gradient shrinking Ricci solitons",
  "authors": [
    "Jia-Yong Wu"
  ],
  "comment": "14 pages",
  "categories": [
    "math.DG"
  ],
  "abstract": "On a complete non-compact gradient shrinking Ricci soliton, we prove the analyticity in time for smooth solutions of the heat equation with quadratic exponential growth in the space variable. This growth condition is sharp. As an application, we give a necessary and sufficient condition on the solvability of the backward heat equation in a class of functions with quadratic exponential growth.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-11-07T03:06:00.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C21",
      "35C10",
      "35K05"
    ],
    "keywords": [
      "heat equation",
      "time analyticity",
      "quadratic exponential growth",
      "non-compact gradient shrinking ricci soliton",
      "complete non-compact gradient shrinking ricci"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}