Total energy decay for the wave equation in exterior domains with a dissipation near infinity (Q860971)
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scientific article; zbMATH DE number 5083587
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Total energy decay for the wave equation in exterior domains with a dissipation near infinity |
scientific article; zbMATH DE number 5083587 |
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Total energy decay for the wave equation in exterior domains with a dissipation near infinity (English)
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9 January 2007
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The paper refers to an initial boundary value problem for the wave equation with a nonlinear dissipation term. One investigates conditions under which the total energy \(E(t)\) tends to zero as \(t\) tends to infinity. This happens for instance when dissipation term satisfies a certain condition of ``half-linearity'' defined in the paper.
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wave equation
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dissipation term
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energy decay
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initial boundary value problem
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nonlinear dissipation term
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