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

Laul, Parul; Metcalfe, Jason

doi:10.1090/S0002-9939-2012-11239-0

Localized energy estimates for wave equations on high-dimensional Schwarzschild space-times
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by Parul Laul and Jason Metcalfe PDF

Proc. Amer. Math. Soc. 140 (2012), 3247-3262 Request permission

Abstract:

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 estimates for wave equations on $(1+n)$-dimensional hyperspherical Schwarzschild space-times.

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