Title: Damped waves with singular damping on manifolds
Speaker: Ruoyu Wang
Speaker Info: Northwestern University
Brief Description:
Special Note:
Abstract:
We will discuss a damped wave semigroup for damping exhibiting Hölder-type blowup near a hypersurface of a compact manifold. We will use this semigroup to prove a sharp energy decay result for singular damping on the torus, where the optimal rate of energy decay explicitly depends on the singularity of the damping. We also show that no finite time extinction could happen under this setting. This is a joint work with Perry Kleinhenz.Date: Monday, April 17, 2023