On the pointwise convergence of NLS flow on ${\S }^2$

Fanfei Meng, Yilin Song, Chenmin Sun +2

In this paper, we study the almost everywhere convergence of the cubic nonlinear Schrödinger flow to the initial data on ${\mathbb{S}}^2$, \begin{equation*} iu_t + Δ_g u = |u|^2u, \qu…