Weak Dispersive estimates for Schrödinger equations with long range potentials

J. A. Bercelo, A. Ruiz, L. Vega +1

We prove some local smoothing estimates for the Schrödinger initial value problem with data in $L^2({\mathbb{R}}^d)$, $d\ge 2$ and a general class of potentials. In the repulsive s…