{
  "id": "0706.0350",
  "version": "v1",
  "published": "2007-06-04T09:11:35.000Z",
  "updated": "2007-06-04T09:11:35.000Z",
  "title": "Decay and non-decay of the local energy for the wave equation in the De Sitter - Schwarzschild metric",
  "authors": [
    "Jean-Francois Bony",
    "Dietrich Hafner"
  ],
  "comment": "22 pages, 5 figures",
  "categories": [
    "math.AP",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We describe an expansion of the solution of the wave equation in the De Sitter - Schwarzschild metric in terms of resonances. The main term in the expansion is due to a zero resonance. The error term decays polynomially if we permit a logarithmic derivative loss in the angular directions and exponentially if we permit an small derivative loss in the angular directions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-06-04T09:11:35.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35B34",
      "35P25",
      "35Q75",
      "83C57"
    ],
    "keywords": [
      "wave equation",
      "schwarzschild metric",
      "local energy",
      "angular directions",
      "small derivative loss"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0706.0350B"
    }
  }
}