标题： 无质量狄拉克场在德西特-雷斯纳-诺德斯特罗姆黑洞外部的共振展开 显示英文标题

标题： Resonance expansions of massless Dirac fields propagating in the exterior of a de Sitter-Reissner-Nordström black hole

摘要： 我们给出了在de Sitter-Reissner-Nordström黑洞外部区域的质量零狄拉克场演化方程解的共振展开。 通过这种方法，我们描述了紧支集数据的局部能量衰减。 证明使用了Bony和Häfner于2008年提出的半经典薛定谔算子的截断预解估计。 该方法可扩展到球对称渐近双曲流形上的狄拉克算子。 显示英文摘要

摘要： 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.