Global Analysis of Quasilinear Wave Equations on Asymptotically Kerr-de Sitter Spaces

DOI10.1093/imrn/rnv311zbMath1404.58040arXiv1404.1348OpenAlexW3099492709MaRDI QIDQ4560507

Peter Hintz, András Vasy

Publication date: 12 December 2018

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.1348

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Hyperbolic equations on manifolds (58J45) PDEs on manifolds (35R01)

Related Items (18)

Decay of the Weyl curvature in expanding black hole cosmologies ⋮ Spectral gaps for normally hyperbolic trapping ⋮ Non-linear stability of the Kerr-Newman-de Sitter family of charged black holes ⋮ Stability of Minkowski space and polyhomogeneity of the metric ⋮ Linear stability of slowly rotating Kerr black holes ⋮ Normally hyperbolic trapping on asymptotically stationary spacetimes ⋮ Algebraic structure of classical field theory: kinematics and linearized dynamics for real scalar fields ⋮ Quasilinear wave equations on Schwarzschild–de Sitter ⋮ Analysis of linear waves near the Cauchy horizon of cosmological black holes ⋮ Recent progress in general relativity ⋮ Uniqueness of Kerr-Newman-de Sitter black holes with small angular momenta ⋮ Iterative methods for globally Lipschitz nonlinear Laplace equations ⋮ A local energy estimate for wave equations on metrics asymptotically close to Kerr ⋮ Existence and Asymptotics of Nonlinear Helmholtz Eigenfunctions ⋮ The null-geodesic flow near horizons ⋮ Global analysis of quasilinear wave equations on asymptotically de Sitter spaces ⋮ A sharp version of Price's law for wave decay on asymptotically flat spacetimes ⋮ Inverse problem for Einstein-scalar field equations

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