{
  "id": "0906.3384",
  "version": "v1",
  "published": "2009-06-18T09:19:52.000Z",
  "updated": "2009-06-18T09:19:52.000Z",
  "title": "Energy dispersed large data wave maps in 2+1 dimensions",
  "authors": [
    "Jacob Sterbenz",
    "Daniel Tataru"
  ],
  "comment": "89 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "In this article we consider large data Wave-Maps from $\\mathbb{R}^{2+1}$ into a compact Riemannian manifold $(\\mathcal{M},g)$, and we prove that regularity and dispersive bounds persist as long as a certain type of bulk (non-dispersive) concentration is absent. In a companion article we use these results in order to establish a full regularity theory for large data Wave-Maps.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-06-18T09:19:52.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35L70"
    ],
    "keywords": [
      "dispersed large data wave maps",
      "energy dispersed large data wave",
      "large data wave-maps",
      "dimensions",
      "compact riemannian manifold"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1007/s00220-010-1061-4",
      "journal": "Communications in Mathematical Physics",
      "year": 2010,
      "month": "Aug",
      "volume": 298,
      "number": 1,
      "pages": 139
    },
    "note": {
      "typesetting": "TeX",
      "pages": 89,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010CMaPh.298..139S"
    }
  }
}