Small-amplitude nonlinear waves on a black hole background

DOI10.1016/j.matpur.2005.04.004zbMath1079.35069arXivmath/0503024OpenAlexW1979626516MaRDI QIDQ2571746

Mihalis Dafermos, Igor Rodnianski

Publication date: 14 November 2005

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0503024

zbMATH Keywords

SchwarzschildReissner-NordströmEddington-Finkelstein

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Black holes (83C57) Second-order nonlinear hyperbolic equations (35L70) PDEs in connection with relativity and gravitational theory (35Q75)

Related Items (20)

A large data theory for nonlinear wave on the Schwarzschild background ⋮ The null condition and global existence for nonlinear wave equations on slowly rotating Kerr spacetimes ⋮ A proof of Price's Law on Schwarzschild black hole manifolds for all angular momenta ⋮ Nonlinear scalar perturbations of extremal Reissner-Nordström spacetimes ⋮ Blow-up and lifespan estimate to a nonlinear wave equation in Schwarzschild spacetime ⋮ A proof of the uniform boundedness of solutions to the wave equation on slowly rotating Kerr backgrounds ⋮ Asymptotic distribution of quasi-normal modes for Kerr-de Sitter black holes ⋮ Resolvent estimates for normally hyperbolic trapped sets ⋮ Global existence for quasilinear wave equations close to Schwarzschild ⋮ Stability and instability of extreme Reissner-Nordström black hole spacetimes for linear scalar perturbations. II ⋮ Lifespan estimate for semilinear wave equation in Schwarzschild spacetime ⋮ Uniform decay of local energy and the semi-linear wave equation on Schwarzschild space ⋮ The Strauss conjecture on Kerr black hole backgrounds ⋮ Phase space analysis on some black hole manifolds ⋮ Stability of the Einstein-Lichnerowicz constraint system ⋮ The red‐shift effect and radiation decay on black hole spacetimes ⋮ Pointwise decay for semilinear wave equations on Kerr spacetimes ⋮ Localized energy estimates for wave equations on high-dimensional Schwarzschild space-times ⋮ Strichartz estimates on Kerr black hole backgrounds ⋮ Perturbations of the Kerr black hole and the boundness of linear waves

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