Stabilization of the wave equation on tori using polyhedrons
par
Marc Rouveyrol(Paris Saclay)
→
Europe/Paris
Amphi Schwartz
Amphi Schwartz
Description
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.