{
  "id": "1705.02756",
  "version": "v1",
  "published": "2017-05-08T06:38:19.000Z",
  "updated": "2017-05-08T06:38:19.000Z",
  "title": "Reconstruction of a source domain from the Cauchy data",
  "authors": [
    "Masaru Ikehata"
  ],
  "comment": "10 pages",
  "journal": "Inverse Problems 15(1999) 637-645",
  "doi": "10.1088/0266-5611/15/2/019",
  "categories": [
    "math.AP"
  ],
  "abstract": "We consider an inverse source problem for the Helmholtz equation in a bounded domain. The problem is to reconstruct the shape of the support of a source term from the Cauchy data on the boundary of the solution of the governing equation. We prove that if the shape is a polygon, one can calculate its support function from such data. An application to the inverse boundary value problem is also included.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-05-08T06:38:19.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35R30"
    ],
    "keywords": [
      "cauchy data",
      "source domain",
      "reconstruction",
      "inverse boundary value problem",
      "inverse source problem"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "IOP"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}