The wave equation on the Schwarzschild spacetime with small non-decaying first-order terms-Reference-Cited by-同舟云学术

The wave equation on the Schwarzschild spacetime with small non-decaying first-order terms

Published:2023-12 Issue:04 Volume:20 Page:825-834
ISSN:0219-8916
Container-title:Journal of Hyperbolic Differential Equations
language:en
Short-container-title:J. Hyper. Differential Equations

Author:

Holzegel Gustav¹²^ORCID,Kauffman Christopher¹^ORCID

Affiliation:

1. Mathematisches Institut, Universität Münster, Einsteinstrasse 62, 48149 Münster, Bundesrepublik Deutschland

2. Department of Mathematics, Imperial College London, South Kensington, Campus, London SW7 2AZ, UK

Abstract

In this paper, we present an elementary physical space argument to establish local integrated decay estimates for the perturbed wave equation [Formula: see text] on the exterior of the Schwarzschild geometry [Formula: see text]. Here [Formula: see text] is a regular vector field on [Formula: see text] decaying suitably in space but not necessarily in time. The proof is formulated to cover also perturbations of the Regge–Wheeler equation.

Funder

ERC Consolidator

Germany's Excellence Strategy EXC 2044

Publisher

World Scientific Pub Co Pte Ltd

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219891623500273

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