{
  "id": "1203.3853",
  "version": "v1",
  "published": "2012-03-17T10:44:57.000Z",
  "updated": "2012-03-17T10:44:57.000Z",
  "title": "Asymptotic Behaviour of Solutions to Hyperbolic Partial Differential Equations",
  "authors": [
    "Michael Ruzhansky",
    "Jens Wirth"
  ],
  "comment": "64 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "These notes provide an introduction to and a survey on recent results about the long-time behaviour of solutions to hyperbolic partial differential equations with time-dependent coefficients. Particular emphasis is given also to questions about the sharpness of estimates. The selection of materials is based on the mini-courses taught by the first author at the CRM, Barcelona, and by the second author at Aalto University, Helsinki, both in 2011.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-03-17T10:44:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35B40",
      "35B45",
      "35L05",
      "35L40"
    ],
    "keywords": [
      "hyperbolic partial differential equations",
      "asymptotic behaviour",
      "aalto university",
      "second author",
      "first author"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 64,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1203.3853R"
    }
  }
}