Same room, 891, Evans Hall, from 4:10-5:00pm.

Speaker: Mihai Tohaneanu

Title: Global existence for quasilinear wave equations close to Schwarzschild

Abstract: 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 extra 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.