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The current work considers solutions to the wave equation on asymptotically flat, stationary, Lorentzian spacetimes in (1+3) dimensions.
“The decay of solutions of the exterior initial-boundary value problem for the wave equation”
Cathleen Morawetz · 1961
Earlier work this paper cites.
“Solutions of the wave equation with localized energy”
James Ralston · 1969
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“Nonspherical perturbations of relativistic gravitational collapse. I. Scalar and gravitational perturbations”
Richard Price · 1972
Earlier work this paper cites.
“Décroissance de l’énergie locale de l’équation des ondes pour le problème extérieur et absence de résonance au voisinage du réel”
Nicolas Burq · 1998
Earlier work this paper cites.
“Global Strichartz estimates for nontrapping perturbations of the Laplacian.”
Hart Smith and Christopher Sogge · 2000
Earlier work this paper cites.
“Almost global existence for some semilinear wave equations”
Markus Keel, Hart Smith and Christopher Sogge · 2002
Earlier work this paper cites.
“Semilinear wave equations on the Schwarzschild manifold. I. Local decay estimates”
P. Blue and A. Soffer · 2003
Earlier work this paper cites.
“Global existence of solutions to multiple speed systems of quasilinear wave equations in exterior domains”
Jason Metcalfe, Makoto Nakamura and Christopher Sogge · 2005
Earlier work this paper cites.
“Angular regularity and Strichartz estimates for the wave equation”
Jacob Sterbenz · 2005
Earlier work this paper cites.
“On the Morawetz-Keel-Smith-Sogge Inequality for the Wave Equation on a Curved Background”
Serge Alinhac · 2006
Earlier work this paper cites.
“Decay of solutions of the wave equation in the Kerr geometry”
Felix Finster, Niky Kamran, Joel Smoller and S-T Yau · 2006
Earlier work this paper cites.
“Long-time existence of quasilinear wave equations exterior to star-shaped obstacles via energy methods”
Jason Metcalfe and Christopher Sogge · 2006
Earlier work this paper cites.
“The semilinear wave equation on asymptotically Euclidean manifolds”
Jean-Francois Bony and Dietrich H“”afner · 2009
Cited alongside, same era.
“The red-shift effect and radiation decay on black hole spacetimes”
Mihalis Dafermos and Igor Rodnianski · 2009
Cited alongside, same era.
“Decay estimates for variable coefficient wave equations in exterior domains”
Jason Metcalfe and Daniel Tataru · 2009
Cited alongside, same era.
“On abstract Strichartz estimates and the Strauss conjecture for nontrapping obstacles”
Kunio Hidano, Jason Metcalfe, Hart Smith, Christopher Sogge and Yi Zhou · 2010
Cited alongside, same era.
“Strichartz estimates on Schwarzschild black hole backgrounds”
Jeremy Marzuola, Jason Metcalfe, Daniel Tataru and Mihai Tohaneanu · 2010
Cited alongside, same era.
“Concerning the wave equation on asymptotically Euclidean manifolds”
“Improved local energy decay for the wave equation on asymptotically Euclidean odd dimensional manifolds in the short range case”
Jean-Francois Bony and Dietrich H“”afner · 2013
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“Lectures on black holes and linear waves”
Mihalis Dafermos and Igor Rodnianski · 2013
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“The null condition and global existence for nonlinear wave equations on slowly rotating Kerr spacetimes”
Jonathan Luk · 2013
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“Local decay of waves on asymptotically flat stationary space-times”
Daniel Tataru · 2013
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“Hidden symmetries and decay for the wave equation on the Kerr spacetime”
Lars Andersson and Pieter Blue · 2015
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“Characterisation of the energy of Gaussian beams on Lorentzian manifolds: with applications to black hole spacetimes”
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Christopher Sogge and Chengbo Wang · 2010
Cited alongside, same era.
“A proof of the uniform boundedness of solutions to the wave equation on slowly rotating Kerr backgrounds”
Mihalis Dafermos and Igor Rodnianski · 2011
Cited alongside, same era.
“A proof of Price’s Law on Schwarzschild black hole manifolds for all angular momenta”
Roland Donninger, Wilhelm Schlag and Avy Soffer · 2011
Cited alongside, same era.
“Local energy decay for several evolution equations on asymptotically Euclidean manifolds”
Jean-Francois Bony and Dietrich H“”afner · 2012
Cited alongside, same era.
“Global parametrices and dispersive estimates for variable coefficient wave equations”
Jason Metcalfe and Daniel Tataru · 2012
Cited alongside, same era.
“Price’s law on nonstationary space-times”
Jason Metcalfe, Daniel Tataru and Mihai Tohaneanu · 2012
Cited alongside, same era.
“Strichartz estimates on Kerr black hole backgrounds”
Mihai Tohaneanu · 2012
Cited alongside, same era.
Jan Sbierski · 2015
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“Global stability of solutions to nonlinear wave equations”
Shiwu Yang · 2015
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“Decay for solutions of the wave equation on Kerr exterior spacetimes III: The full subextremal case —a— ¡ M”
Mihalis Dafermos, Igor Rodnianski and Yakov Shlapentokh-Rothman · 2016
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“Localized energy for wave equations with degenerate trapping”
Robert Booth, Hans Christianson, Jason Metcalfe and Jacob Perry · 2017
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“Local energy decay for scalar fields on time dependent non-trapping backgrounds”
Jason Metcalfe, Jacob Sterbenz and Daniel Tataru · 2017
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“Global existence for quasilinear wave equations close to Schwarzschild”
Hans Lindblad and Mihai Tohaneanu · 2018
Later among the works it cites.