Global well-posedness and scattering for the defocusing ${\dot{H}}^{\frac{1}{2}}$-critical nonlinear Schrödinger equation in ${\mathbb{R}}^2$

Xueying Yu

In this paper we consider the Cauchy initial value problem for the defocusing quintic nonlinear Schrödinger equation in ${\mathbb{R}}^2$ with general data in the critical space $\dot…