Breakdown of regularity of scattering for mass-subcritical NLS

Gyu Eun Lee

We study the scattering problem for the nonlinear Schrödinger equation $i{\partial }_{t}u+\Delta u=|u{|}^{p}u$ on ${\mathbb{R}}^d$, $d\ge 1$, with a mass-subcritical nonlinearity above the S…