de Sitter-Reissner-Nordström黑洞外无质量Dirac场的共振展开
Resonance expansions of massless Dirac fields propagating in the exterior of a de Sitter-Reissner-Nordström black hole
摘要：
给出了de Sitter-Reissner-Nordström黑洞外区无质量Dirac场演化方程解的共振展开式.利用这种方法，我们描述了紧支撑数据的局部能量衰减。证明使用了Bony和Häfner，2008年半经典薛定谔算子的截断预解估计。该方法推广到球对称渐近双曲流形上的Dirac算子。
英文摘要：
We give an expansion of the solution of the evolution equation for the massless Dirac fields in the outer region of de Sitter-Reissner-Nordström 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 Schrödinger operators from Bony and Häfner, 2008. The method extends to the Dirac operators on spherically symmetric asymptotically hyperbolic manifolds.
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