{
  "id": "0904.3022",
  "version": "v1",
  "published": "2009-04-20T12:54:07.000Z",
  "updated": "2009-04-20T12:54:07.000Z",
  "title": "Mixed norm estimates of Schrödinger waves and their applications",
  "authors": [
    "Myeongju Chae",
    "Yonggeun Cho",
    "Sanghyuk Lee"
  ],
  "comment": "37 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper we establish mixed norm estimates of interactive Schr\\\"{o}dinger waves and apply them to study smoothing properties and global well-posedness of the nonlinear Schr\\\"{o}dinger equations with mass critical nonlinearity.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-04-20T12:54:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42B25",
      "35Q40",
      "35Q55"
    ],
    "keywords": [
      "schrödinger waves",
      "applications",
      "establish mixed norm estimates",
      "study smoothing properties",
      "global well-posedness"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 37,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0904.3022C"
    }
  }
}