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The wave equation on the Schwarzschild metric II: Local decay for the spin 2 Regge Wheeler equation

P. Blue·A. Soffer
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Abstract

Odd-type spin 2 perturbations of Einstein's equation can be reduced to the scalar Regge-Wheeler equation. We show that the weighted norms of solutions are in L^2 of time and space. This result uses commutator methods and applies uniformly to all relevant spherical harmonics.

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P. Blue, A. Soffer. 2006-08-14. The wave equation on the Schwarzschild metric II: Local decay for the spin 2 Regge Wheeler equation. https://doi.org/10.1063/1.1824211

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