Global well-posedness and scattering for the defocusing energy supercritical NLS in high dimensions

Xuan Liu

We consider the defocusing energy-supercritical nonlinear Schrödinger equation $i{\partial }_{t}u+\Delta u=|u{|}^{p}u$ in dimensions $d\ge 5$. Killip-Visan [Comm. Partial Differential Equations…