{
  "id": "1112.5663",
  "version": "v2",
  "published": "2011-12-23T21:23:55.000Z",
  "updated": "2013-03-04T17:55:34.000Z",
  "title": "Global dynamics of the nonradial energy-critical wave equation above the ground state energy",
  "authors": [
    "Joachim Krieger",
    "Kenji Nakanishi",
    "Wilhelm Schlag"
  ],
  "comment": "arXiv admin note: substantial text overlap with arXiv:1010.3799. This is the final version as it appears in Discrete and Continuous Dynamical Systems Volume 33, Issue 6, 2013 Pages 2423-2450. Some minor misprints have been corrected",
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper we establish the existence of certain classes of solutions to the energy critical nonlinear wave equation in dimensions 3 and 5 assuming that the energy exceeds the ground state energy only by a small amount. No radial assumption is made. We find that there exist four sets in the natural energy space with nonempty interiors which correspond to all possible combinations of finite-time blowup on the one hand, and global existence and scattering to a free wave, on the other hand, as time approaches infinity. In our previous paper arxiv:1010.3799 we treated the radial case, and this paper provides the natural nonradial extension of these results. However, the present paper is self-contained and in fact develops a somewhat different formalism in order to handle the more complex nonradial situation.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-03-04T17:55:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35L05",
      "35L71"
    ],
    "keywords": [
      "ground state energy",
      "nonradial energy-critical wave equation",
      "global dynamics",
      "energy critical nonlinear wave equation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 2013,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1112.5663K"
    }
  }
}