---
res:
  bibo_abstract:
  - We develop the existence, uniqueness, continuity, stability, and scattering theory
    for energy-critical nonlinear Schrödinger equations in dimensions n ≥ 3, for solutions
    which have large, but finite, energy and large, but finite, Strichartz norms.
    For dimensions n ≤ 6, this theory is a standard extension of the small data well-posedness
    theory based on iteration in Strichartz spaces. However, in dimensions n > 6 there
    is an obstruction to this approach because of the subquadratic nature of the nonlinearity
    (which makes the derivative of the nonlinearity non-Lipschitz). We resolve this
    by iterating in exotic Strichartz spaces instead. The theory developed here will
    be applied in a subsequent paper of the second author, [21], to establish global
    well-posedness and scattering for the defocusing energy-critical equation for
    large energy data.@eng
  bibo_authorlist:
  - foaf_Person:
      foaf_givenName: Terence
      foaf_name: Tao, Terence
      foaf_surname: Tao
  - foaf_Person:
      foaf_givenName: Monica
      foaf_name: Visan, Monica
      foaf_surname: Visan
      foaf_workInfoHomepage: http://www.librecat.org/personId=056daca0-b8d1-11f0-964f-f91054abf8ca
  bibo_issue: '118'
  bibo_volume: 2005
  dct_date: 2005^xs_gYear
  dct_isPartOf:
  - http://id.crossref.org/issn/1550-6150
  dct_language: eng
  dct_publisher: Texas State University@
  dct_title: Stability of energy-critical nonlinear Schrodinger equations in high
    dimensions@
...