{
  "id": "0708.1978",
  "version": "v1",
  "published": "2007-08-15T01:57:43.000Z",
  "updated": "2007-08-15T01:57:43.000Z",
  "title": "Parabolic equations with the second order Cauchy conditions on the boundary",
  "authors": [
    "Nikolai Dokuchaev"
  ],
  "comment": "7 pages",
  "journal": "Journal of Physics A: Mathematical and Theoretical. (2007) 40, pp. 12409--12413",
  "doi": "10.1088/1751-8113/40/41/010",
  "categories": [
    "math.AP",
    "math-ph",
    "math.MP"
  ],
  "abstract": "The paper studies some ill-posed boundary value problems on semi-plane for parabolic equations with homogenuous Cauchy condition at initial time and with the second order Cauchy condition on the boundary of the semi-plane. A class of inputs that allows some regularity is suggested and described explicitly in frequency domain. This class is everywhere dense in the space of square integrable functions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-08-15T01:57:43.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35K20",
      "35Q99",
      "32A35",
      "47A52"
    ],
    "keywords": [
      "second order cauchy condition",
      "parabolic equations",
      "ill-posed boundary value problems",
      "square integrable functions",
      "paper studies"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Journal of Physics A Mathematical General",
      "year": 2007,
      "month": "Oct",
      "volume": 40,
      "number": 41,
      "pages": 12409
    },
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007JPhA...4012409D"
    }
  }
}