{
  "id": "0910.0595",
  "version": "v3",
  "published": "2009-10-04T11:47:29.000Z",
  "updated": "2010-06-04T06:14:58.000Z",
  "title": "Determining nodes for semilinear parabolic equations",
  "authors": [
    "Ryôhei Kakizawa"
  ],
  "comment": "16 pages",
  "categories": [
    "math.AP",
    "math.NA"
  ],
  "abstract": "We are concerned with the uniqueness of the asymptotic behavior of strong solutions of the initial-boundary value problem for general semilinear parabolic equations by the asymptotic behavior of these strong solutions on a finite set of an entire domain. More precisely, if the asymptotic behavior of a strong solution is known on an appropriate finite set, then the asymptotic behavior of a strong solution itself is entirely determined in a domain. We prove the above property by the energy method.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2010-06-04T06:14:58.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35K90",
      "65N35"
    ],
    "keywords": [
      "asymptotic behavior",
      "strong solution",
      "determining nodes",
      "general semilinear parabolic equations",
      "initial-boundary value problem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0910.0595K"
    }
  }
}