Quasilinear wave equations on asymptotically flat spacetimes with applications to Kerr black holes

M Dafermos, G Holzegel, I Rodnianski… - arxiv preprint arxiv …, 2022 - arxiv.org
We prove global existence and decay for small-data solutions to a class of quasilinear wave
equations on a wide variety of asymptotically flat spacetime backgrounds, allowing in …

Quasilinear wave equations on Kerr black holes in the full subextremal range

M Dafermos, G Holzegel, I Rodnianski… - arxiv preprint arxiv …, 2024 - arxiv.org
We prove global existence, boundedness and decay for small data solutions $\psi $ to a
general class of quasilinear wave equations on Kerr black hole backgrounds in the full sub …

Global existence for semi-linear hyperbolic equations in a neighbourhood of future null infinity

JA Olvera-Santamaria - arxiv preprint arxiv:2501.18133, 2025 - arxiv.org
In this paper, we establish the global existence of a semi-linear class of hyperbolic
equations in 3+ 1 dimensions, that satisfy the bounded weak null condition. We propose a …