# American Institute of Mathematical Sciences

April  2013, 33(4): 1583-1601. doi: 10.3934/dcds.2013.33.1583

## Boundary stabilization of the waves in partially rectangular domains

 1 Faculty of Education, Wakayama University, 930 Sakaedani, Wakayama-shi, Wakayama-Ken 640-8510, Japan

Received  April 2011 Revised  September 2012 Published  October 2012

We study the energy decay to the wave equation with a dissipative boundary condition on partially rectangular domains. We give a polynomial order energy decay under the assumption that the damping term may vanish on the rectangular part. A resolvent estimate for the correspondent stationary problem is proved.
Citation: Hisashi Nishiyama. Boundary stabilization of the waves in partially rectangular domains. Discrete & Continuous Dynamical Systems - A, 2013, 33 (4) : 1583-1601. doi: 10.3934/dcds.2013.33.1583
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