# Optimal dispersive estimates for the wave equation with $C^{n-3-2}$ potentials in dimensions $4le nle 7$ - Mathematics > Analysis of PDEs

Optimal dispersive estimates for the wave equation with $C^{n-3-2}$ potentials in dimensions $4le nle 7$ - Mathematics > Analysis of PDEs - Download this document for free, or read online. Document in PDF available to download.

Abstract: We prove optimal dispersive estimates for the wave group$e^{it\sqrt{-\Delta+V}}$ for a class of real-valued potentials $V\inC^{n-3-2}{\bf R}^n$, $4\le n\le 7$, such that $\partial x^\alphaVx=O|x|^{-\delta}$ for $|x|>1$, where $\delta>n+1-2$.

Author: Fernando Cardoso, Georgi Vodev

Source: https://arxiv.org/