{
  "id": "1009.6227",
  "version": "v2",
  "published": "2010-09-30T19:38:20.000Z",
  "updated": "2011-12-06T17:09:23.000Z",
  "title": "Geometric renormalization below the ground state",
  "authors": [
    "Paul Smith"
  ],
  "comment": "39 pages; Typos and argument for noncompact target manifolds corrected; Published form available at http://imrn.oxfordjournals.org/cgi/content/abstract/rnr169?ijkey=OXVb8Exb1XuXqLz&keytype=ref",
  "doi": "10.1093/imrn/rnr169",
  "categories": [
    "math.AP",
    "math-ph",
    "math.MP"
  ],
  "abstract": "The caloric gauge was introduced by Tao with studying large data energy critical wave maps mapping from $\\mathbf{R}^{2+1}$ to hyperbolic space $\\mathbf{H}^m$ in view. In \\cite{BIKT} Bejenaru, Ionescu, Kenig, and Tataru adapted the caloric gauge to the setting of Schr\\\"odinger maps from $\\mathbf{R}^{d + 1}$ to the standard sphere $S^2 \\hookrightarrow \\mathbf{R}^3$ with initial data small in the critical Sobolev norm. Here we develop the caloric gauge in a bounded geometry setting with a construction valid up to the ground state energy.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-12-06T17:09:23.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "ground state",
      "geometric renormalization",
      "caloric gauge",
      "critical wave maps mapping",
      "data energy critical wave maps"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 39,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1009.6227S"
    }
  }
}