Global well-posedness and scattering for defocusing, cubic NLS in ${\mathbb{R}}^3$

Qingtang Su

We prove global well-posedness and scattering for the defocusing, cubic NLS on ${\mathbb{R}}^3$ with initial data in $H^s({\mathbb{R}}^3)$ for $s>49/74$. The proof combines the ideas o…