Global Cauchy problems for the nonlocal (derivative) NLS in $E_{\sigma }^s$

Jie Chen, Yufeng Lu, Baoxiang Wang

We consider the Cauchy problem for the (derivative) nonlocal NLS in super-critical function spaces $E_{\sigma }^s$ for which the norms are defined by $$ \|f\|_{E^s_σ} = \|\langleξ\rangle^σ…