{
  "id": "2506.17648",
  "version": "v1",
  "published": "2025-06-21T09:13:16.000Z",
  "updated": "2025-06-21T09:13:16.000Z",
  "title": "Simultaneous Identification of Coefficients and Source in a Subdiffusion Equation from One Passive Measurement",
  "authors": [
    "Maolin Deng",
    "Ali Feizmohammadi",
    "Bangti Jin",
    "Yavar Kian"
  ],
  "comment": "26 pages",
  "categories": [
    "math.AP",
    "cs.NA",
    "math.NA"
  ],
  "abstract": "This article is devoted to the detection of parameters in anomalous diffusion from a single passive measurement. More precisely, we consider the simultaneous identification of coefficients as well as a time-dependent source term appearing in a time-fractional diffusion equation from a single boundary or internal passive measurement. We obtain several uniqueness results in dimension one as well as a multidimensional extension under some symmetry assumptions. Our analysis relies on spectral representation of solutions, complex and harmonic analysis combined with some known inverse spectral results for Sturm-Liouville operators. The theoretical results are complemented by a corresponding reconstruction algorithm and numerical simulations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2025-06-21T09:13:16.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "simultaneous identification",
      "subdiffusion equation",
      "coefficients",
      "inverse spectral results",
      "time-fractional diffusion equation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}