Mathematical Research Letters
Volume 18, Issue 5, September 2011 pp. 1023-1035.
Exponential Energy Decay for Kerr–De Sitter Black Holes Beyond Event HorizonsAuthors: Semyon Dyatlov (1)
Author institution: Department of Mathematics, University of California, Evans Hall, Berkeley, CA 94720, USA (1)
Summary: We establish an exponential decay estimate for linear waves on the Kerr–de Sitter slowly rotating black hole. Combining the cutoff resolvent estimate of [10] with the red-shift effect and a parametrix near the event horizons, we obtain exponential decay on the whole domain of outer communications.
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