Pointwise convergence of the fractional Schrödinger equation in ${\mathbb{R}}^2$

Chu-hee Cho, Hyerim Ko

We investigate the pointwise convergence of the solution to the fractional Schrödinger equation in ${\mathbb{R}}^2$. By establishing $H^s({\mathbb{R}}^2)-L^3({\mathbb{R}}^2)$ estimates for…