A Local Energy Estimate on Kerr Black Hole Backgrounds

作者:Tataru Daniel*; Tohaneanu Mihai
来源:International Mathematics Research Notices, 2011, (2): 248-292.
DOI:10.1093/imrn/rnq069

摘要

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.

  • 出版日期2011