Global existence for quasilinear wave equations close to Schwarzschild

Series: 
PDE Seminar
Tuesday, November 8, 2016 - 15:00
1 hour (actually 50 minutes)
Location: 
Skiles 006
,  
University of Kentucky
,  
We study the quasilinear wave equation $\Box_{g} u = 0$, where the metric $g$ depends on $u$ and equals the Schwarzschild metric when u is identically 0. Under a couple of assumptions on the metric $g$ near the trapped set and the light cone, we prove global existence of solutions. This is joint work with Hans Lindblad.