A local energy estimate on Kerr black hole backgrounds

Daniel Tataru, Mihai Tohaneanu

Research output: Contribution to journalArticlepeer-review

104 Scopus citations


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
Issue number2
StatePublished - Jan 2011

ASJC Scopus subject areas

  • General Mathematics


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