A large data theory for nonlinear wave on the Schwarzschild background

DOI10.1016/j.jde.2022.07.009OpenAlexW2946199128MaRDI QIDQ2161496

Publication date: 4 August 2022

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.07974

Mathematics Subject Classification ID

Black holes (83C57) Wave equation (35L05) (2)-body potential quantum scattering theory (81U05) Asymptotic procedures (radiation, news functions, (mathcal{H} )-spaces, etc.) in general relativity and gravitational theory (83C30) Exact solutions to problems in general relativity and gravitational theory (83C15) Quadratic and bilinear forms, inner products (15A63) Equations of motion in general relativity and gravitational theory (83C10) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Cites Work

Unnamed Item
Unnamed Item
A large data regime for nonlinear wave equations
Decay for solutions of the wave equation on Kerr exterior spacetimes. III: The full subextremalcase \(|a| < M\).
Conformal scattering on the Schwarzschild metric
The null condition and global existence for nonlinear wave equations on slowly rotating Kerr spacetimes
On the formation of trapped surfaces
On the asymptotic behavior of solutions to the Einstein vacuum equations in wave coordinates
Improved decay for solutions to the linear wave equation on a Schwarzschild black hole
A proof of the uniform boundedness of solutions to the wave equation on slowly rotating Kerr backgrounds
On pointwise decay of linear waves on a Schwarzschild black hole background
Uniform energy bound and Morawetz estimate for extreme components of spin fields in the exterior of a slowly rotating Kerr black hole. II: linearized gravity
Hidden symmetries and decay for the wave equation on the Kerr spacetime
Erratum: Decay of solutions of the wave equation in the Kerr geometry
The formation of black holes in general relativity.
The global stability of Minkowski space-time in harmonic gauge
\(C^{m,\omega}\) extension by bounded-depth linear operators
Strichartz estimates on Schwarzschild black hole backgrounds
Decay of solutions of the wave equation in the Kerr geometry
Uniform decay of local energy and the semi-linear wave equation on Schwarzschild space
A nonlinear Klein--Gordon equation on Kerr metrics
Semilinear wave equations on the Schwarzschild manifold. I: Local decay estimates.
Global existence for the Einstein vacuum equations in wave coordinates
Scattering for the wave equation on the Schwarzschild metric
The null condition and global existence of nonlinear elastic waves
Nonlinear Klein-Gordon equation on Schwarzschild-like metrics
A vector field method approach to improved decay for solutions to the wave equation on a slowly rotating Kerr black hole
Global existence of smooth solution to relativistic membrane equation with large data
Morawetz estimate for linearized gravity in Schwarzschild
Trapped surfaces in vacuum arising dynamically from mild incoming radiation
Global existence of null-form wave equations in exterior domains
The Strauss conjecture on Kerr black hole backgrounds
Small-amplitude nonlinear waves on a black hole background
The linear stability of the Schwarzschild solution to gravitational perturbations
Global Existence for Systems of Nonlinear Wave Equations in 3D with Multiple Speeds
LONG TIME SOLUTIONS FOR WAVE MAPS WITH LARGE DATA
A Local Energy Estimate on Kerr Black Hole Backgrounds
Strichartz estimates on Kerr black hole backgrounds
Stability of a Schwarzschild Singularity
Reduction of the characteristic initial value problem to the Cauchy problem and its applications to the Einstein equations
Decay Estimates for Variable Coefficient Wave Equations in Exterior Domains
The red‐shift effect and radiation decay on black hole spacetimes
Global solutions of nonlinear hyperbolic equations for small initial data
Uniform decay estimates and the lorentz invariance of the classical wave equation
Blow-up for quasi-linear wave equations in three space dimensions
Radiation fields and hyperbolic scattering theory
Global existence for nonlinear wave equations
Global existence for quasilinear wave equations close to Schwarzschild
Global Existence of Solutions to Multiple Speed Systems of Quasilinear Wave Equations in Exterior Domains
Local decay of waves on asymptotically flat stationary space-times
On Classical Global Solutions of Nonlinear Wave Equations with Large Data
Lectures on black holes and linear waves
Notes on the wave equation on asymptotically Euclidean manifolds

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