Global ETD Search
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Showing 1 to 2 of 2 for “"Integrated local energy decay"”.
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Stability of charged rotating black holes for linear scalar perturbations
… scalar perturbations. That is, nondegenerate energy bounds (NEB) and integrated local energy decay (ILED) results are proved for solutions of the wave equation on the domain of outer communications. The main obstacles to the proof of these results are superradiance, trapping and their …
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Linear waves on higher dimensional Schwarzschild black holes and Schwarzschild de Sitter spacetimes
… spacetimes. In the first part of this thesis two decay results are proven for general finite energy solutions to the linear wave equation on higher dimensional Schwarzschild black holes. I establish uniform energy decay and improved interior first order energy decay in all dimensions with rates in …