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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