{
  "id": "1608.06190",
  "version": "v1",
  "published": "2016-08-22T15:10:36.000Z",
  "updated": "2016-08-22T15:10:36.000Z",
  "title": "Conditional stability for an inverse source problem for the time-fractional diffusion equation",
  "authors": [
    "Zhiyuan Li"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "This paper deals with an inverse source problem for the $1$D time-fractional diffusion equation by using boundary measurement. The conditional stability in identification of the unknown source term is proved on the basis of the Fourier transform and several properties of the Mittag-Leffler functions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-08-22T15:10:36.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35R11",
      "35R30",
      "42A38",
      "33E12"
    ],
    "keywords": [
      "inverse source problem",
      "time-fractional diffusion equation",
      "conditional stability",
      "unknown source term",
      "paper deals"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}