{
  "id": "math/0605315",
  "version": "v2",
  "published": "2006-05-11T20:57:13.000Z",
  "updated": "2006-08-24T23:34:05.000Z",
  "title": "Global results for Schrödinger Maps in dimensions $n \\geq 3$",
  "authors": [
    "Ioan Bejenaru"
  ],
  "comment": "The previous version had few gaps in the argument. The new version fixes them",
  "categories": [
    "math.AP"
  ],
  "abstract": "We study the global well-posedness theory for the Schr\\\"odinger Maps equation. We work in $n+1$ dimensions, for $n \\geq 3$, and prove a local well-posedness for small initial data in $\\dot{B}^{\\frac{n}{2}}_{2,1}$.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2006-08-24T23:34:05.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35K55"
    ],
    "keywords": [
      "schrödinger maps",
      "global results",
      "dimensions",
      "global well-posedness theory",
      "small initial data"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......5315B"
    }
  }
}