{
  "id": "1304.4135",
  "version": "v1",
  "published": "2013-04-15T15:38:02.000Z",
  "updated": "2013-04-15T15:38:02.000Z",
  "title": "Nondispersive decay for the cubic wave equation",
  "authors": [
    "Roland Donninger",
    "Anıl Zenginoğlu"
  ],
  "comment": "37 pages, 3 figures",
  "journal": "Anal. PDE 7 (2014), no. 2, 461-495",
  "categories": [
    "math.AP",
    "gr-qc",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We consider the hyperboloidal initial value problem for the cubic focusing wave equation. Without symmetry assumptions, we prove the existence of a co-dimension 4 Lipschitz manifold of initial data that lead to global solutions in forward time which do not scatter to free waves.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-04-15T15:38:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35L05",
      "35L71",
      "35Q75",
      "58J45",
      "83C30"
    ],
    "keywords": [
      "cubic wave equation",
      "nondispersive decay",
      "hyperboloidal initial value problem",
      "cubic focusing wave equation",
      "global solutions"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.2140/apde.2014.7.461"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 37,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1228336,
      "adsabs": "2013arXiv1304.4135D"
    }
  }
}