Global Well-Posedness for NLS with a Class of $H^s$-Supercritical Data

Jinsheng Han, Baoxiang Wang

We study the Cauchy problem for NLS with a class of $H^s$-super-critical data \begin{align} & {\rm i}u_t +Δu+ λ|u|^{2κ} u =0, \quad u(0)=u_0 \label{NLSabstract} \end{align} and sho…