On existence, uniform decay rates, and blow-up for solutions of a nonlinear wave equation with dissipative and source (Q1925399)
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scientific article; zbMATH DE number 6116423
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On existence, uniform decay rates, and blow-up for solutions of a nonlinear wave equation with dissipative and source |
scientific article; zbMATH DE number 6116423 |
Statements
On existence, uniform decay rates, and blow-up for solutions of a nonlinear wave equation with dissipative and source (English)
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18 December 2012
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Summary: We study the blow-up and existence, and asymptotic behaviors of the solution of a nonlinear hyperbolic equation with dissipative and source terms. By using the Galerkin procedure and the perturbed energy method, the local and global existence of solution is established. In addition, by the concave method, the blow-up of solutions can be obtained.
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blow-up
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existence
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asymptotic behavior
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nonlinear hyperbolic equation
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Galerkin procedure
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perturbed energy method
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0.8594076037406921
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0.8479036092758179
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0.8414711356163025
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0.8409186601638794
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