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

2010/08/26 by Parul Laul, Laul, Parul, Jason Metcalfe +1
Mathematics · Physics and Astronomy · #35Q75 #58J45 #Advanced Differential Geometry Research #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Black Holes and Theoretical Physics #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.1008.4626

openalex publication_date 2010/08/26 · openalex created_date 2022/10/05 · openalex updated_date 2026/07/28

Abstract

The localized energy estimate for the wave equation is known to be a fairly\nrobust measure of dispersion. Recent analogs on the (1+3)-dimensional\nSchwarzschild space-time have played a key role in a number of subsequent\nresults, including a proof of Price's law. In this article, we explore similar\nlocalized energy estimates for wave equations on (1+n)-dimensional\nhyperspherical Schwarzschild space-times.\n

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