@article{22057,
  abstract     = { We obtain global well-posedness, scattering, uniform regularity, and global L6t,x spacetime bounds for energy-space solutions to the defocusing energy-critical nonlinear Schrödinger equation in ℝ×ℝ4. Our arguments closely follow those of Colliander, Keel, et al., though our derivation of the frequency-localized interaction Morawetz estimate is somewhat simpler. As a consequence, our method yields a better bound on the L6t,x-norm. },
  author       = {Ryckman, E and Visan, Monica},
  issn         = {1080-6377},
  journal      = {American Journal of Mathematics},
  number       = {1},
  pages        = {1--60},
  publisher    = {Johns Hopkins University Press},
  title        = {{Global well-posedness and scattering for the defocusing energy-critical nonlinear Schrödinger equation in R 1+4}},
  doi          = {10.1353/ajm.2007.0004},
  volume       = {129},
  year         = {2007},
}