Maximal estimates for fractional Schrödinger equations in scaling critical magnetic fields

Haoran Wang, Jiye Yuan

In this paper, we combine the argument of [12] and [27] to prove the maximal estimates for fractional Schrödinger equations $(i{\partial }_t+{\mathcal{L}}_{\mathbf{A}}^{\frac{\alpha }{2}})u=0$ in…