Mathematical Research Letters

Volume 14 (2007)

Number 1

Energy decay for damped wave equations on partially rectangular domains

Pages: 35 – 47



Nicolas Burq (Université Paris Sud-Orsay)

Michael Hitrik (University of California at Los Angeles)


We consider the wave equation with a damping term on a partially rec\-tan\-gular planar domain, assuming that the damping is concentrated close to the non-rectangular part of the domain. Polynomial decay estimates for the ener\-gy of the solution are established.

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