Add to ORKGAbstract. We examine solutions to semilinear wave equations on black hole back-grounds and give a proof of an analog of the Strauss conjecture on the Schwarzschild and Kerr, with small angular momentum, black hole backgrounds. The key estimates are a class of weighted Strichartz estimates, which are used near infinity where the metrics can be viewed as small perturbations of the Minkowski metric, and a local-ized energy estimate on the black hole background, which handles the behavior in the remaining compact set. 1
This short paper should serve as a basis for further analysis of a previously found new symmetry of ...
The Teukolsky master equation and its associated spin-weighted spheroidal harmonic decomposition sim...
The reduced (in the angular coordinate phi) wave equation and Klein-Gordon equation are considered o...
We examine solutions to semilinear wave equations on black hole backgrounds and give a proof of an a...
We study dispersive properties for the wave equation in the Schwarzschild space-time. The first resu...
We study dispersive properties for the wave equation in the Schwarzschild space-time. The first resu...
Algebraically special perturbations of black holes excite gravitational waves that are either purely...
Abstract. In this paper, we obtain sharp Strichartz estimates for solutions of the wave equation gφ ...
© 2018 IOP Publishing Ltd. Specialising in the case of Kerr-Schild spacetimes, which include the Ker...
We consider solutions of the massless scalar wave equation, without symmetry, on fixed subextremal R...
These notes, based on lectures given at the summer school on Asymptotic Analysis in General Relativi...
Abstract. We establish the Strauss conjecture for nontrapping obstacles when the spatial dimension n...
The Teukolsky master equation and its associated spin-weighted spheroidal harmonic decomposition sim...
Abstract: The reduced (in the angular coordinate ϕ) wave equation and Klein–Gordon equation are cons...
This short paper should serve as a basis for further analysis of a previously found new symmetry of ...
This short paper should serve as a basis for further analysis of a previously found new symmetry of ...
The Teukolsky master equation and its associated spin-weighted spheroidal harmonic decomposition sim...
The reduced (in the angular coordinate phi) wave equation and Klein-Gordon equation are considered o...
We examine solutions to semilinear wave equations on black hole backgrounds and give a proof of an a...
We study dispersive properties for the wave equation in the Schwarzschild space-time. The first resu...
We study dispersive properties for the wave equation in the Schwarzschild space-time. The first resu...
Algebraically special perturbations of black holes excite gravitational waves that are either purely...
Abstract. In this paper, we obtain sharp Strichartz estimates for solutions of the wave equation gφ ...
© 2018 IOP Publishing Ltd. Specialising in the case of Kerr-Schild spacetimes, which include the Ker...
We consider solutions of the massless scalar wave equation, without symmetry, on fixed subextremal R...
These notes, based on lectures given at the summer school on Asymptotic Analysis in General Relativi...
Abstract. We establish the Strauss conjecture for nontrapping obstacles when the spatial dimension n...
The Teukolsky master equation and its associated spin-weighted spheroidal harmonic decomposition sim...
Abstract: The reduced (in the angular coordinate ϕ) wave equation and Klein–Gordon equation are cons...
This short paper should serve as a basis for further analysis of a previously found new symmetry of ...
This short paper should serve as a basis for further analysis of a previously found new symmetry of ...
The Teukolsky master equation and its associated spin-weighted spheroidal harmonic decomposition sim...
The reduced (in the angular coordinate phi) wave equation and Klein-Gordon equation are considered o...