{
  "id": "1412.7402",
  "version": "v1",
  "published": "2014-12-23T15:22:14.000Z",
  "updated": "2014-12-23T15:22:14.000Z",
  "title": "Carleman estimate and unique continuation for a structured population model",
  "authors": [
    "Masaaki Uesaka",
    "Masahiro Yamamoto"
  ],
  "comment": "18 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "We consider a time-dependent structured population model equation and establish a Carleman estimate. We apply the Carleman estimate to prove the unique continuation which means that Cauchy data on any lateral boundary determine the solution uniquely.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-12-23T15:22:14.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "carleman estimate",
      "unique continuation",
      "time-dependent structured population model equation",
      "lateral boundary determine",
      "cauchy data"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}