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.
|Journal||Letters in Mathematical Physics|
|State||Published - Feb 2022|
Bibliographical noteFunding 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.
© 2021, The Author(s), under exclusive licence to Springer Nature B.V.
- Kerr spacetimes
- Pointwise decay
- Semilinear wave equation
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics