Optimal dispersive estimates for the wave equation with $C^{(n-3)/2}$ potentials in dimensions $4\le n\le 7$

Fernando Cardoso, Georgi Vodev

We prove optimal dispersive estimates for the wave group $e^{it\sqrt{-\Delta +V}}$ for a class of real-valued potentials $V\in C^{(n-3)/2}({\mathbf{R}}^n)$, $4\le n\le 7$, such that $\partial…