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Localized Energy Estimates for Wave Equations on (1+4)-dimensional Myers--Perry Space-times
Localized energy estimates for the wave equation have been increasingly used to prove various other dispersive estimates. This article focuses on proving such localized energy estimates on (1+4)-dimensional Myers--Perry black hole backgrounds with small angular momenta. The Myers--Perry space-times are generalizations of higher-dimensional Kerr backgrounds where additional planes of rotation …