{
  "id": "1704.07140",
  "version": "v1",
  "published": "2017-04-24T10:58:24.000Z",
  "updated": "2017-04-24T10:58:24.000Z",
  "title": "Recovery of a fast oscillating free term in the wave equation by asymptotics of the solution",
  "authors": [
    "P. V. Babich",
    "V. B. Levenshtam"
  ],
  "comment": "16 pages, in Russian",
  "categories": [
    "math.AP"
  ],
  "abstract": "Three problems about recovery of a high-frequency free term in the one-dimension wave equation with homogeneous initial-boundary conditions by some information about partial asymptotics of its solution have been solved. It is shoun, that the free term can be completely recovered from a specific data about incomplete (three-terms) asymptotics of the solution. Before formulation of the each problem about recovery of free term, construction and justification of the asymptotics of the solution of original initial-boundary problem are given.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-04-24T10:58:24.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35B40"
    ],
    "keywords": [
      "fast oscillating free term",
      "asymptotics",
      "original initial-boundary problem",
      "high-frequency free term",
      "one-dimension wave equation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "ru",
      "license": "arXiv",
      "status": "editable"
    }
  }
}