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

Authors: Parul Laul and Jason Metcalfe
Journal: Proc. Amer. Math. Soc. 140 (2012), 3247-3262
MSC (2010): Primary 35L05
Posted: January 31, 2012
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Abstract: The localized energy estimate for the wave equation is known to be a fairly robust measure of dispersion. Recent analogs on the -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 -dimensional hyperspherical Schwarzschild space-times.

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