{
  "id": "2210.06595",
  "version": "v1",
  "published": "2022-10-12T21:23:05.000Z",
  "updated": "2022-10-12T21:23:05.000Z",
  "title": "Partial data inverse problems for magnetic Schrödinger operators with potentials of low regularity",
  "authors": [
    "Salem Selim"
  ],
  "categories": [
    "math.AP",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We establish a global uniqueness result for an inverse boundary problem with partial data for the magnetic Schr\\\"odinger operator with a magnetic potential of class $W^{1,n}\\cap L^\\infty$, and an electric potential of class $L^n$. Our result is an extension, in terms of the regularity of the potentials, of the results [16] and [25]. As a consequence, we also show global uniqueness for a partial data inverse boundary problem for the advection-diffusion operator with the advection term of class $W^{1,n}\\cap L^\\infty$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-10-12T21:23:05.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35R01",
      "35R30",
      "58J32"
    ],
    "keywords": [
      "partial data inverse problems",
      "magnetic schrödinger operators",
      "low regularity",
      "partial data inverse boundary problem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}