Mathematical Research Letters
Volume 16 (2009)
Polynomial decay for damped wave equations on partially rectangular domains
Pages: 881 – 894
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.
2010 Mathematics Subject Classification
35L05, 47A10, 47B44, 47D06, 49J20