{
  "id": "2003.07884",
  "version": "v1",
  "published": "2020-03-17T18:47:00.000Z",
  "updated": "2020-03-17T18:47:00.000Z",
  "title": "Lipschitz stability for an inverse source problem in anisotropic parabolic equations with dynamic boundary conditions",
  "authors": [
    "E. M. Ait Ben Hassi",
    "S. E. Chorfi",
    "L. Maniar",
    "O. Oukdach"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper, we study an inverse problem for linear parabolic system with variable diffusion coefficients subject to dynamic boundary conditions. We prove a global Lipschitz stability for the inverse problem involving a simultaneous recovery of two source terms from a single measurement and interior observations, based on a recent Carleman estimate for such problems.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-03-17T18:47:00.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35R30",
      "35K05"
    ],
    "keywords": [
      "dynamic boundary conditions",
      "inverse source problem",
      "anisotropic parabolic equations",
      "inverse problem",
      "linear parabolic system"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}