Local energy decay for Maxwell fields part I: Spherically symmetric black-hole backgrounds
arXiv:1305.5261
Abstract
We prove local energy decay estimates for solutions to the inhomogeneous Maxwell system on a generic class of spherically symmetric black holes.
arXiv commentv2. Added some references. Improved exposition and one new diagram. Journal version
References in corpus (8)
- Stability and Instability of Extreme Reissner-Nordström Black Hole Spacetimes for Linear Scalar Perturbations I
- A proof of the uniform boundedness of solutions to the wave equation on slowly rotating Kerr backgrounds
- Uniform Decay of Local Energy and the Semi-Linear Wave Equation on Schwarzchild Space
- Lectures on black holes and linear waves
- Improved decay for solutions to the linear wave equation on a Schwarzschild black hole
- Ultimately Schwarzschildean Spacetimes and the Black Hole Stability Problem
- Uniform energy bound and asymptotics for the Maxwell field on a slowly rotating Kerr black hole exterior
- Decay for solutions of the wave equation on Kerr exterior spacetimes I-II: The cases |a| << M or axisymmetry