{
  "id": "1110.6602",
  "version": "v1",
  "published": "2011-10-30T12:02:00.000Z",
  "updated": "2011-10-30T12:02:00.000Z",
  "title": "The lack of compactness in the Sobolev-Strichartz inequalities",
  "authors": [
    "Luca Fanelli",
    "Nicola Visciglia"
  ],
  "comment": "13 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "We provide a general method to decompose any bounded sequence in $\\dot H^s$ into linear dispersive profiles generated by an abstract propagator, with a rest which is small in the associated Strichartz norms. The argument is quite different from the one proposed by Bahouri-G\\'erard and Keraani in the cases of the wave and Schr\\\"odinger equations, and is adaptable to a large class of propagators, including those which are matrix-valued.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-10-30T12:02:00.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J10",
      "35L05"
    ],
    "keywords": [
      "sobolev-strichartz inequalities",
      "compactness",
      "large class",
      "general method",
      "associated strichartz norms"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1110.6602F"
    }
  }
}