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Localized energy estimates for wave equations on high-dimensional Schwarzschild space-times

Localized energy estimates for wave equations on high-dimensional Schwarzschild space-times

The localized energy estimate for the wave equation is known to be a fairly robust measure of dispersion. Recent analogs on the $(1+3)$-dimensional Schwarzschild space-time have played a key role in a number of subsequent results, including a proof of Price’s law. In this article, we explore similar localized energy …