%0 Journal Article
%T Resonance expansions of massless Dirac fields propagating in the exterior of a de Sitter-Reissner-Nordstr£żm black hole
%A Alexei Iantchenko
%J Physics
%D 2015
%I arXiv
%X We give an expansion of the solution of the evolution equation for the massless Dirac fields in the outer region of de Sitter-Reissner-Nordstr\"om black hole in terms of resonances. By means of this method we describe the decay of local energy for compactly supported data. The proof uses the cut-off resolvent estimates for the semi-classical Schr\"odinger operators from Bony and H\"afner, 2008. The method extends to the Dirac operators on spherically symmetric asymptotically hyperbolic manifolds.
%U http://arxiv.org/abs/1503.00281v1