---
res:
  bibo_abstract:
  - "We prove global well posedness and scattering for the nonlinear Schröodinger
    equation with power-type nonlinearity (mathematical formular) below the energy
    space, i.e., for s<1. In [15], J. Colliander, M. Keel, G. Staffilani, H. Takaoka,
    and T. Tao established polynomial growth of the \r\nHs/x-norm of the solution,
    and hence global well posedness for initial data in Hs/x, provided \r\ns is sufficiently
    close to 1. However, their bounds are insufficient to yield scattering. In this
    paper, we use the a priori interaction Morawetz inequality to show that scattering
    holds in H^s(R^n)\r\n whenever s is larger than some value 0<s0(n,p)<1.@eng"
  bibo_authorlist:
  - foaf_Person:
      foaf_givenName: Monica
      foaf_name: Visan, Monica
      foaf_surname: Visan
      foaf_workInfoHomepage: http://www.librecat.org/personId=056daca0-b8d1-11f0-964f-f91054abf8ca
  - foaf_Person:
      foaf_givenName: Xiaoyi
      foaf_name: Zhang, Xiaoyi
      foaf_surname: Zhang
  bibo_doi: 10.57262/die/1356038556
  bibo_issue: 1/2
  bibo_volume: 22
  dct_date: 2009^xs_gYear
  dct_isPartOf:
  - http://id.crossref.org/issn/0893-4983
  dct_language: eng
  dct_publisher: Khayyam Publishing@
  dct_title: Global well-posedness and scattering for a class of nonlinear Schröodinger
    equations below the energy space@
...