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Boundary stabilization of the waves in partially rectangular domains

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  • 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.
    Mathematics Subject Classification: Primary: 35L05, 47A10, 47B44, 47D06, 49J20.

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