Asymptotics of solutions of the wave equation on de Sitter-Schwarzschild space

Abstract

Solutions to the wave equation on de Sitter-Schwarzschild space with smooth initial data on a Cauchy surface are shown to decay exponentially to a constant at temporal infinity, with corresponding uniform decay on the appropriately compactified space.

References in corpus (1)

• Decay and non-decay of the local energy for the wave equation in the De Sitter - Schwarzschild metric