JOURNAL ARTICLE

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

  • Published In: Journal of Hyperbolic Differential Equations, 2023, v. 20, n. 4. P. 825 1 of 3

  • Database: Academic Search Ultimate 2 of 3

  • Authored By: Holzegel, Gustav; Kauffman, Christopher 3 of 3

Abstract

In this paper, we present an elementary physical space argument to establish local integrated decay estimates for the perturbed wave equation □ g ϕ = β a ∂ a ϕ on the exterior of the Schwarzschild geometry (ℳ , g). Here β is a regular vector field on ℳ decaying suitably in space but not necessarily in time. The proof is formulated to cover also perturbations of the Regge–Wheeler equation. [ABSTRACT FROM AUTHOR]

Additional Information

  • Source:Journal of Hyperbolic Differential Equations. 2023/12, Vol. 20, Issue 4, p825
  • Document Type:Article
  • Subject Area:History
  • Publication Date:2023
  • ISSN:0219-8916
  • DOI:10.1142/S0219891623500273
  • Accession Number:175679312
  • Copyright Statement:Copyright of Journal of Hyperbolic Differential Equations is the property of World Scientific Publishing Company and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)

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