{
  "id": "1612.07942",
  "version": "v1",
  "published": "2016-12-23T11:38:20.000Z",
  "updated": "2016-12-23T11:38:20.000Z",
  "title": "Logarithmic stability inequality in an inverse source problem for the heat equation on a waveguide",
  "authors": [
    "Yavar Kian",
    "Diomba Sambou",
    "Eric Soccorsi"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We prove logarithmic stability in the parabolic inverse problem of determining the space-varying factor in the source, by a single partial boundary measurement of the solution to the heat equation in an infinite closed waveguide, with homogeneous initial and Dirichlet data.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-12-23T11:38:20.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35R30",
      "35K05"
    ],
    "keywords": [
      "inverse source problem",
      "logarithmic stability inequality",
      "heat equation",
      "single partial boundary measurement",
      "parabolic inverse problem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}