For a broad class of nonlinear wave equations on the Kerr-AdS exterior, exponentially decaying event horizon data is shown to yield future-global smooth solutions with exponential decay, even beyond the Hawking-Reall bound.
Holzegel, Well-posedness for the massive wave equation on asymptotically anti-de Sitter space- times, Journal of Hyperbolic Differential Equations 9 (2012), no
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A scattering construction for nonlinear wave equations on Kerr--Anti-de Sitter spacetimes
For a broad class of nonlinear wave equations on the Kerr-AdS exterior, exponentially decaying event horizon data is shown to yield future-global smooth solutions with exponential decay, even beyond the Hawking-Reall bound.