{
  "id": "0706.1422",
  "version": "v1",
  "published": "2007-06-11T09:02:24.000Z",
  "updated": "2007-06-11T09:02:24.000Z",
  "title": "Inverse Conductivity Problem for a Parabolic Equation using a Carlemen Estimate with one Observation",
  "authors": [
    "Patricia Gaitan"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "For the heat equation in a bounded domain we give a stability result for a smooth diffusion coefficient. The key ingredients are a global Carleman-type estimate, a Poincar\\'e-type estimate and an energy estimate with a single observation acting on a part of the boundary.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-06-11T09:02:24.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35R05",
      "35R30"
    ],
    "keywords": [
      "inverse conductivity problem",
      "parabolic equation",
      "carlemen estimate",
      "smooth diffusion coefficient",
      "global carleman-type estimate"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0706.1422G"
    }
  }
}