{
  "id": "2103.15116",
  "version": "v1",
  "published": "2021-03-28T12:45:03.000Z",
  "updated": "2021-03-28T12:45:03.000Z",
  "title": "An inverse problem of radiative potentials and initial temperatures in parabolic equations with dynamic boundary conditions",
  "authors": [
    "E. M. Ait Ben Hassi",
    "S. E. Chorfi",
    "L. Maniar"
  ],
  "comment": "17 pages, to be published in Journal of Inverse and Ill-posed Problems",
  "categories": [
    "math.AP",
    "math.OC"
  ],
  "abstract": "We study an inverse problem involving the restoration of two radiative potentials, not necessarily smooth, simultaneously with initial temperatures in parabolic equations with dynamic boundary conditions. We prove a Lipschitz stability estimate for the relevant potentials using a recent Carleman estimate, and a logarithmic stability result for the initial temperatures by a logarithmic convexity method, based on observations in an arbitrary subdomain.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-03-28T12:45:03.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35R30",
      "35K57"
    ],
    "keywords": [
      "dynamic boundary conditions",
      "initial temperatures",
      "inverse problem",
      "parabolic equations",
      "radiative potentials"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}