**Speaker:** Julien Royer. Universidad de Toulouse

**Title:** Local energy decay for the periodic damped wave equation

*Place: Pontificia Universidad Católica, Facultad de Matemáticas, Campus San Joaquin, Sala 5*

**Abstract:**

In this talk, we will discuss the local (or global) energy decay for the wave equation with damping at infinity. We are in particular interested in the case of a periodic (or asymptotically periodic) setting. We will mainly describe the contribution of low frequencies and observe that it behaves like the solution of some heat equation. We will see how this emerges from the spectral analysis of the damped wave equation.