{
  "id": "1605.01128",
  "version": "v1",
  "published": "2016-05-04T02:18:35.000Z",
  "updated": "2016-05-04T02:18:35.000Z",
  "title": "Long-time asymptotics of solutions of the heat equation",
  "authors": [
    "Sergei V. Zakharov"
  ],
  "comment": "Keywords: heat equation, Cauchy problem, long-time asymptotics, Hermite functions. 10 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "The long-time asymptotics of solutions of the Cauchy problem for the heat equation are constructed in the case when the initial function at infinity has power asymptotics.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-05-04T02:18:35.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35K05",
      "35K15"
    ],
    "keywords": [
      "heat equation",
      "long-time asymptotics",
      "initial function",
      "power asymptotics"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}