Global existence for quasilinear wave equations close to Schwarzschild

PDE Seminar
Tuesday, November 8, 2016 - 3:00pm
1 hour (actually 50 minutes)
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.