Global Well-posedness for the periodic fractional cubic NLS in 1D

Alexandre Megretski, Nikolaos Skouloudis

We consider the defocusing periodic fractional nonlinear Schrödinger equation $$i{\partial }_{t}u+{\left(-\Delta \right)}^{\alpha }u=-|u{|}^{2}u,$$ where $\frac{1}{2}<\alpha <1$ and the oper…