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We study a system of semilinear wave equations on Kerr backgrounds that satisfies the weak null condition.
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T. Sideris, and S.-Y. Tu: Global Existence for Systems of Nonlinear Wave Equations in 3D with Multiple Speeds
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E. Giorgi, S. Klainerman and J. Szeftel: A general formalism for the stability of Kerr
2002
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S. Alinhac: An example of blowup at infinity for a quasilinear wave equation
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P. Blue, A. Soffer: Semilinear wave equations on the Schwarzschild manifold I: local decay estimates
2003
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H. Lindblad and I. Rodnianski: The weak null condition for Einstein’s equations
2003
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K. Hidano: The global existence theorem for quasi-linear wave equations with multiple speeds
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P. Blue, A. Soffer: The wave equation on the Schwarzschild metric II: Local decay for the spin-2 Regge-Wheeler equation
2005
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H. Lindblad and I. Rodnianski: Global Existence for the Einstein Vacuum Equations in Wave Coordinates
2005
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J. Metcalfe, M. Nakamura, C. Sogge: Global existence of solutions to multiple speed systems of quasilinear wave equations in exterior domains
2005
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J. Metcalfe, C. D. Sogge: Hyperbolic trapped rays and global existence of quasilinear wave equations
J. Metcalfe, D. Tataru, M. Tohaneanu: Price’s law on nonstationary space-times
2012
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H. Lindblad, M. Nakamura, C. Sogge, Remarks on global solutions for nonlinear wave equations under the standard null conditions
2013
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J. Luk: The null condition and global existence for nonlinear wave equations on slowly rotating Kerr spacetimes
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C. Wang, X. Yu. Global existence of null-form wave equations on small asymptotically Euclidean manifolds
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2005
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S. Alinhac: On the Morawetz-Keel-Smith-Sogge inequality for the wave equation on a curved background
2006
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P. Blue and J. Sterbenz: Uniform decay of local energy and the semi-linear wave equation on Schwarzschild space
2006
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J. Metcalfe and C. Sogge: Long-time existence of quasilinear wave equations exterior to star-shaped obstacles via energy methods
2006
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J. Metcalfe and C. Sogge: Global existence of null-form wave equations in exterior domains
2007
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H. Lindblad, Global solutions of quasilinear wave equations
2008
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M. Dafermos and I. Rodnianski: The red-shift effect and radiation decay on black hole spacetimes
2009
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2014
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L. Andersson, P. Blue: Hidden symmetries and decay for the wave equation on the Kerr spacetime
2015
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A. D. Ionescu, S. Klainerman, On the global stability of the wave-map equation in Kerr Spaces with small angular momentum
2015
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M. Dafermos, I. Rodnianski, and Y. Shlapentokh-Rothman: Decay for solutions of the wave equation on Kerr exterior spacetimes III: The full subextremal case | a | < M |a|<M
2016
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H. Lindblad, On the asymptotic behavior of solutions to the Einstein vacuum equations in wave coordinates
2017
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P. Hintz and A. Vasy The global non-linear stability of the Kerr-de Sitter family of black holes
2018
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H. Lindblad, M. Tohaneanu: Global existence for quasilinear wave equations close to Schwarzschild
2018
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Y. Angelopoulos, S. Aretakis, and D. Gajic: Nonlinear scalar perturbations of extremal Reissner-Nordström spacetimes
2020
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Y. Deng and F. Pusateri: On the global behavior of weak null quasilinear wave equations
2020
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P. Hintz and A. Vasy Stability of Minkowski space and polyhomogeneity of the metric
2020
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H. Lindblad, M. Tohaneanu: A local energy estimate for wave equations on metrics asymptotically close to Kerr
2020
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M. Tohaneanu: Pointwise decay for semilinear wave equations on Kerr spacetimes
2022
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