IUMJ

Title: Dispersive estimates for Schroedinger operators with measure-valued potentials in R^3

Authors: Michael Goldberg

Issue: Volume 61 (2012), Issue 6, 2123-2141

Abstract:

We prove dispersive estimates for the linear Schr\"o\-din\-ger evolution associated with an operator $-\Delta+V$ in $\mathbb{R}^3$, where the potential is a signed measure with fractal dimension at least $\frac{3}{2}$.