Global well-posedness and scattering for the energy-critical, defocusing Hartree equation for radial data

Changxing Miao, Guixiang Xu, Lifeng Zhao

We consider the defocusing, ${\dot{H}}^1$-critical Hartree equation for the radial data in all dimensions $(n\ge 5)$. We show the global well-posedness and scattering results in the…