%0 Journal Article %T Exponential energy decay for Kerr-de Sitter black holes beyond event horizons %A Semyon Dyatlov %J Mathematics %D 2010 %I arXiv %X We establish an exponential decay estimate for linear waves on the Kerr-de Sitter slowly rotating black hole. Combining the cutoff resolvent estimate of arXiv:1003.6128 with the red-shift effect and a parametrix near the event horizons, we obtain exponential decay on the whole space. %U http://arxiv.org/abs/1010.5201v2