Convergence of the wave equation damped on the interior to the one damped on the boundary (Q852692)

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scientific article; zbMATH DE number 5072902
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Convergence of the wave equation damped on the interior to the one damped on the boundary
scientific article; zbMATH DE number 5072902

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    Convergence of the wave equation damped on the interior to the one damped on the boundary (English)
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    15 November 2006
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    This paper is devoted to the comparison of the dynamics of the wave equation damped in the interior of the domain \(\Omega\subset\mathbb{R}^d\) \((d= 1,2\) or \(3\)) with the dynamics of the wave equation damped on the boundary of \(\Omega\), when the interior damping converges to a Dirac distribution supported by the boundary.
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    damped wave equation
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    boundary damping
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    attractor
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    stability
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    perturbation
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    Morse-Smale property
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