{
  "id": "2004.03368",
  "version": "v1",
  "published": "2020-04-04T01:45:49.000Z",
  "updated": "2020-04-04T01:45:49.000Z",
  "title": "Stability Analysis for the Helmholtz Equation with Many Frequencies",
  "authors": [
    "Elham Sohrabi"
  ],
  "comment": "6 pages. arXiv admin note: substantial text overlap with arXiv:1903.10341 by other authors",
  "categories": [
    "math.AP"
  ],
  "abstract": "This paper concerns the inverse source problem for the time-harmonic wave equation in a one dimensional domain. The goal is to determine the source function from the boundary measurements. The problem is challenging due to complexity of the Green's function for the Helmholtz equation. Our main result is a logarithmic estimate consists of two parts: the data discrepancy and the high frequency tail.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-04-04T01:45:49.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35R30",
      "35J05",
      "35B60",
      "33C10",
      "31A15",
      "76Q05",
      "78A46"
    ],
    "keywords": [
      "helmholtz equation",
      "stability analysis",
      "high frequency tail",
      "inverse source problem",
      "time-harmonic wave equation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}