Polynomial decay for damped wave equations on partially rectangular domains

Hisashi Nishiyama
2009 Mathematical Research Letters  
We consider the energy decay of a damped wave equation on the partially rectangular domain. By using integration by parts, assuming that the damping only exists near the boundary of non-rectangular part, we can prove the polynomial type energy decay. We also give some examples which are not available in the literature.
doi:10.4310/mrl.2009.v16.n5.a10 fatcat:pzdeppvm6jgtbefqybkq2uisjm