# Localized Energy Estimates of the Wave Equation on Higher Dimensional Schwarzschild Space Times

Localized energy estimates for the wave equation on Minkowski and (1+3)-dimensional Schwarzschild space-times have had various applications; for example, in the proof of Price’s Law. We discuss a similar localized energy estimate for the inhomogeneous wave equation \Box \phi=F on the (1+n)-dimensional hyperspherical Schwarzschild manifold.

This talk is part of the Geometric Analysis and Partial Differential Equations seminar series.