@article{22029,
  abstract     = {We consider two classes of defocusing energy-supercritical nonlinear Schrödinger equations in dimensions d ≥ 5. We prove that if the solution u is a priori bounded in the critical Sobolev space, that is, {mathematical formular} , then u is global and scatters.},
  author       = {Killip, Rowan and Visan, Monica},
  issn         = {1532-4133},
  journal      = {Communications in Partial Differential Equations},
  keywords     = {critical regularity, Nonlinear Schrödinger equations},
  number       = {6},
  pages        = {945--987},
  publisher    = {Informa UK Limited},
  title        = {{Energy-supercritical NLS: Critical [Hdot]^s-bounds imply scattering}},
  doi          = {10.1080/03605301003717084},
  volume       = {35},
  year         = {2010},
}