##### Department of Mathematics,

University of California San Diego

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### Math 248 - Seminar in Real Analysis

## Mihai Tohaneanu

#### University of Kentucky

## 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 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.

Hosts: Ioan Bejenaru and Jacob Sterbenz

### May 16, 2017

### 10:00 AM

### AP&M 7321

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