---
res:
  bibo_abstract:
  - We consider the Cauchy problem for a family of semilinear defocusing Schrödinger
    equations with monomial nonlinearities in one space dimension. We establish global
    well-posedness and scattering. Our analysis is based on a four-particle interaction
    Morawetz estimate giving a priori $L_{t,x}^8$ spacetime control on solutions.@eng
  bibo_authorlist:
  - foaf_Person:
      foaf_givenName: J.
      foaf_name: Colliander, J.
      foaf_surname: Colliander
  - foaf_Person:
      foaf_givenName: Justin
      foaf_name: Holmer, Justin
      foaf_surname: Holmer
  - 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: 10.3934/cpaa.2008.7.467
  bibo_issue: '3'
  bibo_volume: 7
  dct_date: 2008^xs_gYear
  dct_isPartOf:
  - http://id.crossref.org/issn/1534-0392
  - http://id.crossref.org/issn/1553-5258
  dct_language: eng
  dct_publisher: American Institute of Mathematical Sciences@
  dct_title: Global existence and scattering for rough solutions to generalized nonlinear
    Schrödinger equations on $R$@
...