Asymptotic behavior of solutions to the damped nonlinear hyperbolic equation (Q364333)
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scientific article; zbMATH DE number 6206784
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Asymptotic behavior of solutions to the damped nonlinear hyperbolic equation |
scientific article; zbMATH DE number 6206784 |
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Asymptotic behavior of solutions to the damped nonlinear hyperbolic equation (English)
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9 September 2013
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Summary: We consider the Cauchy problem for the damped nonlinear hyperbolic equation in \(n\)-dimensional space. Under small condition on the initial value, the global existence and asymptotic behavior of the solution in the corresponding Sobolev spaces are obtained by the contraction mapping principle.
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