Uniform stabilization of solution (Q2761020)
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scientific article; zbMATH DE number 1682884
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Uniform stabilization of solution |
scientific article; zbMATH DE number 1682884 |
Statements
17 December 2001
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exponential decay
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initial-boundary value problem
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energy decay
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Uniform stabilization of solution (English)
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The author proves the exponential decay of solution of the initial-boundary value problem to the equation \(u_{tt}-(\alpha +2\beta \|\nabla u\|_2^2)\triangle u+\delta u=\mu u^3\), \(x\in \Omega \), \(t>0\), satisfying the homogeneous Dirichlet condition on the boundary of \(\Omega \).
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