%0 Journal Article
%T On the energy-critical fractional Sch£¿dinger equation in the radial case
%A Zihua Guo
%A Yannick Sire
%A Yuzhao Wang
%A Lifeng Zhao
%J Mathematics
%D 2013
%I arXiv
%X We consider the Cauchy problem for the energy-critical nonlinear Schr\"odinger equation with fractional Laplacian (fNLS) in the radial case. We obtain global well-posedness and scattering in the energy space in the defocusing case, and in the focusing case with energy below the ground state.
%U http://arxiv.org/abs/1310.6816v1