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We prove a new type of finite time blow-up for a class of semilinear wave equations on extremal black holes.
Blow-up for quasilinear wave equations in three dimensions
John, F · 1981
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The null condition and global existence to nonlinear wave equations
Klainerman, S · 1984
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A local energy estimate on Kerr black hole backgrounds
Tataru, D., and Tohaneanu, M · 2008
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A new physical-space approach to decay for the wave equation with applications to black hole spacetimes
Dafermos, M., and Rodnianski, I · 2009
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Luk, J · 2010
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Global solutions of nonlinear wave equations in time dependent inhomogeneous media
Yang, S · 2010
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Stability and instability of extreme Reissner–Nordström black hole spacetimes for linear scalar perturbations I
Aretakis, S · 2011
Cited alongside, same era.
Stability and instability of extreme Reissner–Nordström black hole spacetimes for linear scalar perturbations II
Aretakis, S · 2011
Cited alongside, same era.
The black hole stability problem for linear scalar perturbations
Dafermos, M., and Rodnianski, I · 2011
Cited alongside, same era.
A proof of the uniform boundedness of solutions to the wave equation on slowly rotating Kerr backgrounds
Dafermos, M., and Rodnianski, I · 2011
Cited alongside, same era.
Decay of axisymmetric solutions of the wave equation on extreme Kerr backgrounds
Aretakis, S · 2012
Cited alongside, same era.
A note on instabilities of extremal black holes from afar
Aretakis, S · 2012
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On the horizon instability of an extreme Reissner–Nordström black hole
Lucietti, J., Murata, K., Reall, H. S., and Tanahashi, N · 2012
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Gravitational instability of an extreme kerr black hole
Lucietti, J., and Reall, H · 2012
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A remark about the wave equations on the extreme Reissner–Nordström black hole exterior
Bizon, P., and Friedrich, H · 2013
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Instability of higher dimensional extreme black holes
Murata, K · 2013
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Quantitative mode stability for the wave equation on the kerr spacetime
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Aretakis, S · 2012
Cited alongside, same era.
Hidden symmetries and decay for the wave equation on the Kerr spacetime
Andersson, L., and Blue, P
Cited in the paper.
Dafermos, M., and Rodnianski, I
Cited in the paper.
Shlapentokh-Rothman, Y · 2013
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