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We study the Cauchy problem for the wave equation on extreme Kerr backgrounds under axisymmetry.
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L. Andersson and P. Blue, Hidden symmetries and decay for the wave equation on the Kerr spacetime
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J. Marzuola, J. Metcalfe, D. Tataru, M. Tohaneanu, Strichartz estimates on Schwarzschild black hole backgrounds
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