# Global existence for quasilinear wave equations close to Schwarzschild

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Mihai Tohaneanu , University of Kentucky
Fine Hall 110

We study the quasilinear wave equation $[g] u = 0$, 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.