{
  "id": "1004.4287",
  "version": "v3",
  "published": "2010-04-24T15:25:32.000Z",
  "updated": "2011-01-26T14:47:21.000Z",
  "title": "Sufficient and Necessary Conditions for the fractional Gagliardo-Nirenberg Inequalities and applications to Navier-Stokes and generalized boson equations",
  "authors": [
    "Hichem Hajaiej",
    "Luc Molinet",
    "Tohru Ozawa",
    "Baoxiang Wang"
  ],
  "comment": "40 Pages",
  "categories": [
    "math.FA",
    "math.AP"
  ],
  "abstract": "Sufficient and necessary conditions for the generalized Gagliardo-Nirenberg (GN) inequality in Besov spaces and Triebel-Lizorkin spaces are obtained. Applying the GN inequality, we show that the finite-time blowup solutions have concentration phenomena in critical Lebesgue space L^3. Moreover, we consider the minimizer for a class of variational problem by applying the fractional GN inequality.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2011-01-26T14:47:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42B35",
      "46E35",
      "35J50",
      "35Q40",
      "47J30"
    ],
    "keywords": [
      "fractional gagliardo-nirenberg inequalities",
      "generalized boson equations",
      "necessary conditions",
      "sufficient",
      "applications"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 40,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1004.4287H"
    }
  }
}