{
  "id": "1511.08600",
  "version": "v1",
  "published": "2015-11-27T10:05:50.000Z",
  "updated": "2015-11-27T10:05:50.000Z",
  "title": "Hyperboloidal evolution and global dynamics for the focusing cubic wave equation",
  "authors": [
    "Annegret Y. Burtscher",
    "Roland Donninger"
  ],
  "comment": "39 pages, 6 figures",
  "categories": [
    "math.AP",
    "math-ph",
    "math.MP"
  ],
  "abstract": "In the framework of a hyperboloidal initial value formulation for the cubic wave equation, we identify a codimension-1 Lipschitz manifold of data leading to solutions which converge to Lorentz boosts of the selfsimilar attractor $\\sqrt{2}/t$. These global solutions thus exhibit a slow nondispersive decay, in contrast to small data evolutions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-11-27T10:05:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35L05",
      "35L71",
      "58J45"
    ],
    "keywords": [
      "focusing cubic wave equation",
      "hyperboloidal evolution",
      "global dynamics",
      "hyperboloidal initial value formulation",
      "small data evolutions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 39,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv151108600B"
    }
  }
}