{
  "id": "0907.4287",
  "version": "v3",
  "published": "2009-07-24T13:49:57.000Z",
  "updated": "2011-01-23T23:58:08.000Z",
  "title": "Asymptotics from scaling for nonlinear wave equations",
  "authors": [
    "Nikodem Szpak"
  ],
  "comment": "14 pages; minor changes (notation, typos)",
  "journal": "Comm. PDE, 35 (10), pp. 1876-1890 (Oct. 2010)",
  "doi": "10.1080/03605300903540935",
  "categories": [
    "math-ph",
    "math.AP",
    "math.MP"
  ],
  "abstract": "We present a scaling technique which transforms the evolution problem for a nonlinear wave equation with small initial data to a linear wave equation with a distributional source. The exact solution of the latter uniformly approximates the late-time behavior of solutions of the nonlinear problem in timelike and null directions.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2011-01-23T23:58:08.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "nonlinear wave equation",
      "asymptotics",
      "small initial data",
      "distributional source",
      "evolution problem"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0907.4287S"
    }
  }
}