A local energy estimate on Kerr black hole backgrounds

Daniel Tataru; Mihai Tohaneanu

doi:10.1093/imrn/rnq069

A local energy estimate on Kerr black hole backgrounds

Daniel Tataru, Mihai Tohaneanu

Mathematics

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116 Scopus citations

Abstract

We study dispersive properties for the wave equation in the Kerr space-time with small angular momentum. The main result of this paper is to establish uniform energy bounds and local energy decay for such backgrounds. This follows similar results for the Schwarzschild space-time proved earlier in [3], [8], and [16] and extended in earlier work [29] of the authors and collaborators.

Original language	English
Pages (from-to)	248-292
Number of pages	45
Journal	International Mathematics Research Notices
Volume	2011
Issue number	2
DOIs	https://doi.org/10.1093/imrn/rnq069
State	Published - Jan 2011

ASJC Scopus subject areas

General Mathematics

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abstract = "We study dispersive properties for the wave equation in the Kerr space-time with small angular momentum. The main result of this paper is to establish uniform energy bounds and local energy decay for such backgrounds. This follows similar results for the Schwarzschild space-time proved earlier in [3], [8], and [16] and extended in earlier work [29] of the authors and collaborators.",

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AB - We study dispersive properties for the wave equation in the Kerr space-time with small angular momentum. The main result of this paper is to establish uniform energy bounds and local energy decay for such backgrounds. This follows similar results for the Schwarzschild space-time proved earlier in [3], [8], and [16] and extended in earlier work [29] of the authors and collaborators.

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A local energy estimate on Kerr black hole backgrounds

Abstract

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