Pointwise decay for semilinear wave equations on Kerr spacetimes

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2 Scopus citations

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

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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