{
  "id": "1105.1487",
  "version": "v1",
  "published": "2011-05-08T03:14:03.000Z",
  "updated": "2011-05-08T03:14:03.000Z",
  "title": "On prescribed change of profile for solutions of parabolic equations",
  "authors": [
    "Nikolai Dokuchaev"
  ],
  "journal": "Journal of Physics A: Mathematical and Theoretical. May 2011 (44) 225204",
  "doi": "10.1088/1751-8113/44/22/225204",
  "categories": [
    "math.AP"
  ],
  "abstract": "Parabolic equations with homogeneous Dirichlet conditions on the boundary are studied in a setting where the solutions are required to have a prescribed change of the profile in fixed time, instead of a Cauchy condition. It is shown that this problem is well-posed in L_2-setting. Existence and regularity results are established, as well as an analog of the maximum principle.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-05-08T03:14:03.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35K20",
      "35Q99",
      "32A35"
    ],
    "keywords": [
      "parabolic equations",
      "prescribed change",
      "maximum principle",
      "cauchy condition",
      "regularity results"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Journal of Physics A Mathematical General",
      "year": 2011,
      "month": "Jun",
      "volume": 44,
      "number": 22,
      "pages": 225204
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011JPhA...44v5204D"
    }
  }
}