{
  "id": "0904.2233",
  "version": "v1",
  "published": "2009-04-15T03:06:52.000Z",
  "updated": "2009-04-15T03:06:52.000Z",
  "title": "The rate of convergence to the asymptotics for the wave equation in an exterior domain",
  "authors": [
    "Soichiro Katayama",
    "Hideo Kubo"
  ],
  "comment": "24 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper we consider the mixed problem for the wave equation exterior to a non-trapping obstacle in odd space dimensions. We derive a rate of the convergence of the solution for the mixed problem to a solution for the Cauchy problem. As a by-product, we are able to find out the radiation field of solutions to the mixed problem in terms of the scattering data.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-04-15T03:06:52.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35L20",
      "35B40"
    ],
    "keywords": [
      "exterior domain",
      "mixed problem",
      "convergence",
      "asymptotics",
      "wave equation exterior"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0904.2233K"
    }
  }
}