{
  "id": "0811.1908",
  "version": "v2",
  "published": "2008-11-12T14:37:52.000Z",
  "updated": "2009-12-08T22:00:46.000Z",
  "title": "Nonlinear stability of self-similar solutions for semilinear wave equations",
  "authors": [
    "Roland Donninger"
  ],
  "comment": "References added and minor changes, accepted for publication in Communications in Partial Differential Equations",
  "journal": "Communications in Partial Differential Equations. 35(4):669-684, 2010",
  "doi": "10.1080/03605300903575857",
  "categories": [
    "math.AP",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We prove nonlinear stability of the fundamental self--similar solution of the wave equation with a focusing power nonlinearity $\\psi_{tt}-\\Delta \\psi=\\psi^p$ for $p=3,5,7,...$ in the radial case. The proof is based on a semigroup formulation of the wave equation in similarity coordinates.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2009-12-08T22:00:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35L05",
      "35L70"
    ],
    "keywords": [
      "semilinear wave equations",
      "nonlinear stability",
      "fundamental self-similar solution",
      "focusing power nonlinearity",
      "radial case"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0811.1908D"
    }
  }
}