Pointwise decay for the wave equation on nonstationary spacetimes
DOI10.1016/J.JMAA.2022.126939zbMath1527.83038arXiv2105.02865OpenAlexW3159620017MaRDI QIDQ6110849
Publication date: 6 July 2023
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2105.02865
wave equationsgeneral relativitypartial differential equationspointwise decayPrice's lawlatetime asymptotics
Wave equation (35L05) Gravitational energy and conservation laws; groups of motions (83C40) Asymptotic procedures (radiation, news functions, (mathcal{H} )-spaces, etc.) in general relativity and gravitational theory (83C30) Approximation procedures, weak fields in general relativity and gravitational theory (83C25)
Related Items (2)
Cites Work
- Unnamed Item
- Decay for solutions of the wave equation on Kerr exterior spacetimes. III: The full subextremalcase \(|a| < M\).
- Price's law on nonstationary space-times
- Global parametrices and dispersive estimates for variable coefficient wave equations
- Characterisation of the energy of Gaussian beams on Lorentzian manifolds: with applications to black hole spacetimes
- Concerning the wave equation on asymptotically Euclidean manifolds
- Resolvent estimates for normally hyperbolic trapped sets
- On pointwise decay of linear waves on a Schwarzschild black hole background
- On the Morawetz--Keel-Smith-Sogge inequality for the wave equation on a curved background
- Hidden symmetries and decay for the wave equation on the Kerr spacetime
- Strichartz estimates on Schwarzschild black hole backgrounds
- The \(r^{p}\)-weighted energy method of Dafermos and Rodnianski in general asymptotically flat spacetimes and applications
- Late-time asymptotics for the wave equation on spherically symmetric, stationary spacetimes
- Decay of axisymmetric solutions of the wave equation on extreme Kerr backgrounds
- Almost global existence for some semilinear wave equations
- On the Zakharov and Zakharov-Schulman systems
- A sharp version of Price's law for wave decay on asymptotically flat spacetimes
- Late-time asymptotics for the wave equation on extremal Reissner-Nordström backgrounds
- A local energy estimate for wave equations on metrics asymptotically close to Kerr
- A vector field method for radiating black hole spacetimes
- Localized energy for wave equations with degenerate trapping
- A Local Energy Estimate on Kerr Black Hole Backgrounds
- Local energy decay for scalar fields on time dependent non-trapping backgrounds
- Dispersive Estimates for Manifolds with One Trapped Orbit
- The Semilinear Wave Equation on Asymptotically Euclidean Manifolds
- Decay Estimates for Variable Coefficient Wave Equations in Exterior Domains
- The red‐shift effect and radiation decay on black hole spacetimes
- Semiclassical Resolvent Estimates in Chaotic Scattering
- Dispersal of waves vanishing on the boundary of an exterior domain
- Global Strichartz Estimates for Nontrapping Geometries: About an Article by H. Smith and C. Sogge
- Global strichartz estimates for nonthapping perturbations of the laplacian
- Global existence for quasilinear wave equations close to Schwarzschild
- Local decay of waves on asymptotically flat stationary space-times
- Scattering for critical wave equations with variable coefficients
- On the interaction of metric trapping and a boundary
- Lectures on black holes and linear waves
- Long-Time Existence of Quasilinear Wave Equations Exterior to Star-Shaped Obstacles via Energy Methods
- Time decay for the nonlinear Klein-Gordon equation
- Solutions of the wave equation with localized energy
This page was built for publication: Pointwise decay for the wave equation on nonstationary spacetimes