Global analysis of quasilinear wave equations on asymptotically de Sitter spaces

DOI10.5802/aif.3039zbMath1456.35141arXiv1311.6859OpenAlexW2183285209MaRDI QIDQ507069

Peter Hintz

Publication date: 3 February 2017

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.6859

zbMATH Keywords

asymptotically de Sitter spacesKlein-Gordon equations in high regularity spacesresonance expansions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Pseudodifferential operators as generalizations of partial differential operators (35S05) Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs (35A27) Propagation of singularities; initial value problems on manifolds (58J47) Second-order quasilinear hyperbolic equations (35L72)

Related Items (14)

Decay of the Weyl curvature in expanding black hole cosmologies ⋮ Non-linear stability of the Kerr-Newman-de Sitter family of charged black holes ⋮ Stability of Minkowski space and polyhomogeneity of the metric ⋮ The global existence of small self-interacting scalar field propagating in the contracting universe ⋮ Normally hyperbolic trapping on asymptotically stationary spacetimes ⋮ Quasilinear wave equations on Schwarzschild–de Sitter ⋮ Recent progress in general relativity ⋮ Iterative methods for globally Lipschitz nonlinear Laplace equations ⋮ Integral Transform Approach to Time-Dependent Partial Differential Equations ⋮ Global existence of the self-interacting scalar field in the de Sitter universe ⋮ A sharp version of Price's law for wave decay on asymptotically flat spacetimes ⋮ Strichartz estimate and nonlinear Klein-Gordon equation on nontrapping scattering space ⋮ Logarithmic corrections in the asymptotic expansion for the radiation field along null infinity ⋮ Asymptotics for scalar perturbations from a neighborhood of the bifurcation sphere

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