A note on the wave equation on black hole spacetimes with small non-decaying first order terms
Authors
Gustav Holzegel, Christopher Kauffman
Abstract
We present an elementary physical space argument to establish local integrated decay estimates for the perturbed wave equation on the exterior of the Schwarzschild geometry . Here is a regular vectorfield on decaying suitably in space but not necessarily in time. The proof is formulated to cover also perturbations of the Regge--Wheeler equation.
