@article{22075,
  abstract     = {In this short note, we present a new proof of the global well-posedness and scattering result for the defocusing energy-critical nonlinear Schrödinger equation (NLS) in four space dimensions obtained previously by Ryckman and Visan [“Global well-posedness and scattering for the defocusing energycritical nonlinear Schrödinger equation in R^1+4⁠.” American Journal of Mathematics 129 (2007): 1–60. MR2288737]. The argument is inspired by the recent work of Dodson [“Global well-posedness and scattering for the defocusing, L2-critical, nonlinear Schrödinger equation when d≥3.” (2009): preprint arXiv:0912.2467.] on the mass-critical NLS.},
  author       = {Visan, Monica},
  issn         = {1687-0247},
  journal      = {International Mathematics Research Notices},
  number       = {5},
  pages        = {1037--1067},
  publisher    = {Oxford University Press},
  title        = {{Global well-posedness and scattering for the defocusing cubic nonlinear Schrödinger equation in four dimensions}},
  doi          = {10.1093/imrn/rnr051},
  volume       = {2012},
  year         = {2012},
}