Pointwise decay for semilinear wave equations on Kerr spacetimes

Research output: Contribution to journalArticlepeer-review

Abstract

In this article, we prove pointwise bounds for solutions to the semilinear wave equation with integer powers p≥ 3 on Kerr backgrounds with small angular momentum and small initial data. We expect that the bounds proved in this paper are optimal.

Original languageEnglish
Article number6
JournalLetters in Mathematical Physics
Volume112
Issue number1
DOIs
StatePublished - Feb 2022

Bibliographical note

Funding Information:
The author would like to thank Sung-Jin Oh, Shi-Zhuo Looi and Hans Lindblad for many useful conversations regarding the paper, and the Korea Institute for Advanced Study for their hospitality during the spring of 2019. The author was partly supported by the Simons collaboration Grant 586051.

Publisher Copyright:
© 2021, The Author(s), under exclusive licence to Springer Nature B.V.

Keywords

  • Kerr spacetimes
  • Pointwise decay
  • Semilinear wave equation

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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