{
  "id": "1207.5591",
  "version": "v1",
  "published": "2012-07-24T05:31:58.000Z",
  "updated": "2012-07-24T05:31:58.000Z",
  "title": "Long time solutions for wave maps with large data",
  "authors": [
    "Jinhua Wang",
    "Pin Yu"
  ],
  "comment": "41 pages, 3 figures",
  "categories": [
    "math.AP"
  ],
  "abstract": "For 2 + 1 dimensional wave maps with $\\mathbb{S}^2$ as the target, we show that for all positive numbers $T_0 > 0$ and $E_0 > 0$, there exist Cauchy initial data with energy at least $E_0$, so that the solution's life-span is at least $[0,T_0]$. We assume neither symmetry nor closeness to harmonic maps.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-07-24T05:31:58.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "long time solutions",
      "large data",
      "dimensional wave maps",
      "cauchy initial data",
      "harmonic maps"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 41,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1207.5591W"
    }
  }
}