---
res:
  bibo_abstract:
  - "We consider the defocusing H˙ 1-critical nonlinear Schr¨odinger equation in all
    dimensions (n ≥ 3) with a quadratic potential V (x) = ± 1/2|x|^2. We show global
    well-posedness for radial initial data obeying ∇u0(x), xu0(x) ∈L^2. In view of
    the potential V , this is the natural energy space. In the repulsive case, we
    also prove scattering. We follow the approach pioneered by Bourgain and Tao in
    the case of no potential; indeed, we include a proof of their results that incorporates
    a\r\ncouple of simplifications discovered while treating the problem with quadratic
    potential.@eng"
  bibo_authorlist:
  - foaf_Person:
      foaf_givenName: Rowan
      foaf_name: Killip, Rowan
      foaf_surname: Killip
  - 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: 10.1080/03605300903328109
  bibo_issue: '12'
  bibo_volume: 34
  dct_date: 2009^xs_gYear
  dct_isPartOf:
  - http://id.crossref.org/issn/0360-5302
  - http://id.crossref.org/issn/1532-4133
  dct_language: eng
  dct_publisher: Informa UK Limited@
  dct_title: Energy-critical NLS with quadratic potentials@
...