${\text{L}}^2$ solutions for cubic NLS equation with fractional elliptic/hyperbolic operators on $\mathbb{R}\times \mathbb{T}$ and ${\mathbb{R}}^2$

A. J. Corcho, L. P. Mallqui

In this work we consider the Cauchy problem for the cubic Schrödinger equation posed on cylinder $\mathbb{R}\times \mathbb{T}$ with fractional derivatives $(-{\partial }_y^2{)}^{\alpha },\alpha >0$…