Dispersive estimates of solutions to the Schrodinger equation in dimensions $n\ge 4$

Abstract

We prove dispersive estimates for solutions to the Schrodinger equation with a real-valued potential $V\in L^{\infty }({\mathbf{R}}^n)$, $n\ge 4$, satisfying $V(x)=O(|x{|}^{-(n+2)/2-\epsilon })$, $|x|>1$, $\epsilon >0$.

24 pages