Consider the three-dimensional linear wave equation perturbed by a potential belonging to a scaling-critical class which is the closure of bounded, compactly supported functions with respect to the global Kato norm. Without any further smallness assumptions, we prove the dispersive estimate for the solution of the wave equation. As a byproduct, we prove Strichartz estimates under a slightly stronger condition.

This is a joint work with The Anh Bui and Younghun Hong, to appear in J. Funct. Anal.