Asymptotic behavior of solutions to a wave equation with a nonlinear dissipative term in \(\mathbb R^n\) (Q2569764)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Asymptotic behavior of solutions to a wave equation with a nonlinear dissipative term in \(\mathbb R^n\) |
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Asymptotic behavior of solutions to a wave equation with a nonlinear dissipative term in \(\mathbb R^n\) (English)
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26 April 2006
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The paper deals with the initial value problem to the equation \(u_{tt}-\triangle u+g(u_{t})=0\) in \(\mathbb R^n\times \mathbb R_+.\) Under some restrictions on the dissipation function \(g\) and initial data the author proves the asymptotic energy estimate of a solution to the problem for \(t\rightarrow \infty\).
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asymptotic behavior
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nonlinear dissipation
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energy functional
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asymptotic energy estimate
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0.9928329
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0.9682888
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0.96560866
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0.95807195
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