Global existence for nonlinear hyperbolic systems of Kirchhoff type (Q678067)
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scientific article; zbMATH DE number 1000162
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Global existence for nonlinear hyperbolic systems of Kirchhoff type |
scientific article; zbMATH DE number 1000162 |
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Global existence for nonlinear hyperbolic systems of Kirchhoff type (English)
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12 November 1998
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Using Fourier transform, energy estimates and other techniques, the authors prove the global existence of a unique regular solution of the Cauchy problem for a quasilinear integro-differential system of hyperbolic type satisfying small and smooth initial data. A decay estimate for large time is deduced and several examples of Kirchhoff type equations are given.
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Fourier transform
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quasilinear integro-differential system of hyperbolic type
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small and smooth initial data
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decay estimate
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