On the nonlinear Schrödinger equation in spaces of infinite mass and low regularity

Vanessa Barros, Simão Correia, Filipe Oliveira

We study the nonlinear Schrödinger equation with initial data in ${\mathcal{Z}}_p^s({\mathbb{R}}^d)={\dot{H}}^s({\mathbb{R}}^d)\cap L^p({\mathbb{R}}^d)$, where $0<s<\min \{d/2,1\}$ and $2<p<2…