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arXiv · 1304.4145

The Strauss conjecture on Kerr black hole backgrounds

Hans Lindblad·Jason Metcalfe·Christopher D. Sogge·Mihai Tohaneanu·Chengbo Wang
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Abstract

We examine solutions to semilinear wave equations on black hole backgrounds and give a proof of an analog of the Strauss conjecture on the Schwarzschild and Kerr, with small angular momentum, black hole backgrounds. The key estimates are a class of weighted Strichartz estimates, which are used near infinity where the metrics can be viewed as small perturbations of the Minkowski metric, and a localized energy estimate on the black hole background, which handles the behavior in the remaining compact set.

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Hans Lindblad, Jason Metcalfe, Christopher D. Sogge, Mihai Tohaneanu, Chengbo Wang. 2013-04-24. The Strauss conjecture on Kerr black hole backgrounds. https://doi.org/10.1007/s00208-014-1006-x

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