{
  "id": "math/0611457",
  "version": "v1",
  "published": "2006-11-15T11:16:04.000Z",
  "updated": "2006-11-15T11:16:04.000Z",
  "title": "Stability for solutions of wave equations with C^{1,1} coefficients",
  "authors": [
    "Mikko Salo"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We consider the stable dependence of solutions to wave equations on metrics in C^{1,1} class. The main result states that solutions depend uniformly continuously on the metric, when the Cauchy data is given in a range of Sobolev spaces. The proof is constructive and uses the wave packet approach to hyperbolic equations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-11-15T11:16:04.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35L05"
    ],
    "keywords": [
      "wave equations",
      "coefficients",
      "wave packet approach",
      "main result states",
      "sobolev spaces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math.....11457S"
    }
  }
}