A local energy estimate on Kerr black hole backgrounds

Daniel Tataru, Mihai Tohaneanu

Research output: Contribution to journalArticlepeer-review

94 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 languageEnglish
Pages (from-to)248-292
Number of pages45
JournalInternational Mathematics Research Notices
Volume2011
Issue number2
DOIs
StatePublished - Jan 2011

ASJC Scopus subject areas

  • Mathematics (all)

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