5 citations · 5 across the 1 of their papers we have counts for
3 papers
math.AP2019★ 5 cited
Global existence for systems of nonlinear wave equations with bounded, stable asymptotic systems
Joseph Keir
Some systems of nonlinear wave equations admit global solutions for all sufficiently small initial data, while others do not. The (classical) null condition guarantees that such a…
gr-qc2018
Evanescent ergosurface instability
Joseph Keir
Some exotic compact objects possess evanescent ergosurfaces: timelike submanifolds on which a Killing vector field, which is timelike everywhere else, becomes null. We show that an…
math.AP2018
The weak null condition and global existence using the p-weighted energy method
Joseph Keir
We prove global existence for solutions arising from small initial data for a large class of quasilinear wave equations satisfying the `weak null condition' of Lindblad and Rodnian…