Local energy decay for Maxwell fields part I: Spherically symmetric black-hole backgrounds

Abstract

We prove local energy decay estimates for solutions to the inhomogeneous Maxwell system on a generic class of spherically symmetric black holes.

v2. Added some references. Improved exposition and one new diagram. Journal version

References in corpus (3)

• 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

Cited by in corpus (3)

• Linear Stability of the Non-Extreme Kerr Black Hole
• Resonance expansions for tensor-valued waves on asymptotically Kerr-de Sitter spaces
• Uniform energy bound and asymptotics for the Maxwell field on a slowly rotating Kerr black hole exterior