On the well-posedness of the periodic fractional Schrödinger equation

Beckett Sanchez, Oscar Riaño, Svetlana Roudenko

We consider the periodic fractional nonlinear Schrödinger equation $$i{u}_t-(-\Delta {)}^{\frac{s}{2}}u+\mathcal{N}(|u|)u=0,x\in {\mathbb{T}}^N,t\in \mathbb{R},s>0,$$…