Dispersive estimates of solutions to the wave equation with a potential in dimensions $n\ge 4$

Abstract

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

24 pages

References in corpus (1)

• On the focusing critical semi-linear wave equation