Stabilization of the wave equation on tori using polyhedrons

par Marc Rouveyrol (Paris Saclay)

lundi 17 avr. 2023, 14:00 → 15:00 Europe/Paris

Amphi Schwartz

We consider stabilization of the damped wave equation on tori. When the damping is continuous, the long-known geometric control condition is necessary and sufficient for stabilization. A recent result by N. Burq and P. Gérard adapts this condition to the framework of two-dimensional tori and discontinuous, polygon-shaped dampings. We will discuss their result and give some generalizations and (untechnical) sketches of proof on higher-dimensional tori.