Maximal estimates for perturbations of the Schrödinger operator on ${\mathbb{T}}^d$

Inbo Gottlieb Fenves, Jiahao Tan

We study $L_x^p{L}_t^{\infty }$ maximal estimates for exponential sums associated to $C^2$ graph hypersurfaces, motivated by Schrödinger maximal estimates on ${\mathbb{T}}^d$. We show th…