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# Mathematical Research Letters

## Volume 16 (2009)

### Number 5

### Polynomial decay for damped wave equations on partially rectangular domains

Pages: 881 – 894

DOI: http://dx.doi.org/10.4310/MRL.2009.v16.n5.a10

#### Author

#### Abstract

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