A vector field method for radiating black hole spacetimes
DOI10.2140/apde.2020.13.29zbMath1437.35088arXiv1705.10714OpenAlexW2617924145WikidataQ126407567 ScholiaQ126407567MaRDI QIDQ2299290
Jacob Sterbenz, Jesus Angel Oliver
Publication date: 21 February 2020
Published in: Analysis \& PDE (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1705.10714
null formasymptotically flat spacetimeslocal energy decay estimateslong range perturbations of Minkowski space
Asymptotic behavior of solutions to PDEs (35B40) Black holes (83C57) Second-order nonlinear hyperbolic equations (35L70) A priori estimates in context of PDEs (35B45) Initial value problems for second-order hyperbolic equations (35L15) Hyperbolic equations on manifolds (58J45)
Related Items (7)
Cites Work
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- Decay for solutions of the wave equation on Kerr exterior spacetimes. III: The full subextremalcase \(|a| < M\).
- The null condition and global existence for nonlinear wave equations on slowly rotating Kerr spacetimes
- Global solutions of nonlinear wave equations in time dependent inhomogeneous media
- Price's law on nonstationary space-times
- On the asymptotic behavior of solutions to the Einstein vacuum equations in wave coordinates
- An extension of the stability theorem of the Minkowski space in general relativity
- Hyperbolic trapped rays and global existence of quasilinear wave equations
- The global stability of Minkowski space-time in harmonic gauge
- Strichartz estimates on Schwarzschild black hole backgrounds
- On the formation of singularities in the critical \(O(3)\) \(\sigma \)-model
- Uniform decay of local energy and the semi-linear wave equation on Schwarzschild space
- The \(r^{p}\)-weighted energy method of Dafermos and Rodnianski in general asymptotically flat spacetimes and applications
- Almost global existence for some semilinear wave equations
- A vector field method approach to improved decay for solutions to the wave equation on a slowly rotating Kerr black hole
- Global existence of null-form wave equations in exterior domains
- Global existence of null-form wave equations on small asymptotically Euclidean manifolds
- A vector field method for non-trapping, radiating spacetimes
- A Local Energy Estimate on Kerr Black Hole Backgrounds
- Global stability for charged-scalar fields on Minkowski space
- The Semilinear Wave Equation on Asymptotically Euclidean Manifolds
- The red‐shift effect and radiation decay on black hole spacetimes
- Uniform decay estimates and the lorentz invariance of the classical wave equation
- Global existence for quasilinear wave equations close to Schwarzschild
- Local decay of waves on asymptotically flat stationary space-times
- The null condition for quasilinear wave equations in two space dimensions. I
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