Mathematical Physics and Harmonic Analysis Seminar

Date: April 21, 2023

Time: 1:50PM - 2:50PM

Location: BLOC 302

Speaker: Ruoyu Wang, Northwestern University

Title: Damped waves with singular damping on manifolds

Abstract: We will discuss a new damped wave semigroup for damping exhibiting H\”{o}lder-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.