3 papers
math.AP2026
Teukolsky on slowly-rotating Kerr-de Sitter in the vanishing limit
Allen Juntao Fang, Jérémie Szeftel, Arthur Touati
As a first step towards resolving a vanishing cosmological constant black hole stability conjecture, we prove energy, Morawetz and rp-weighted estimates for solutions to the Teukol…
math.AP2025
Wave turbulence for a semilinear Klein-Gordon system
Anne-Sophie de Suzzoni, Annalaura Stingo, Arthur Touati
In this article we consider a system of two Klein-Gordon equations, set on the -dimensional box of size , coupled through quadratic semilinear terms of strength …
math.AP2024
Spacelike initial data for black hole stability
Allen Juntao Fang, Jérémie Szeftel, Arthur Touati
We construct initial data suitable for the Kerr stability conjecture, that is, solutions to the constraint equations on a spacelike hypersurface with boundary entering the black ho…