Energy decay for damped wave equations on partially rectangular domains

Nicolas Burq (1) , Michael Hitrik

1 LM-Orsay - Laboratoire de Mathématiques d'Orsay

We consider the wave equation with a damping term on a partially rectangular planar domain, assuming that the damping is concentrated close to the non-rectangular part of the domain. Polynomial decay estimates for the energy of the solution are established.

Domaines: Equations aux dérivées partielles [math.AP]

Nicolas Burq, Michael Hitrik. Energy decay for damped wave equations on partially rectangular domains. 2006. ⟨hal-00081149⟩