$L^p$-estimates of maximal function related to Schrödinger Equation in ${\mathbb{R}}^2$

Xiumin Du, Xiaochun Li

Using Guth's polynomial partitioning method, we obtain $L^p$ estimates for the maximal function associated to the solution of Schrödinger equation in ${\mathbb{R}}^2$. The $L^p$ estim…