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arxiv: math/0601195 · v1 · submitted 2006-01-09 · 🧮 math.AP · math.OC

Energy decay for damped wave equations on partially rectangular domains

classification 🧮 math.AP math.OC
keywords dampingdecaydomainenergypartiallyrectangularwaveassuming
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We consider the wave equation with a damping term on a partially rectangular planar domain, assuming that the damping is concentrated close to the non-rectangular part of the domain. Polynomial decay estimates for the energy of the solution are established.

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