Global existence and asymptotic behavior of solutions to systems of semilinear wave equations in two space dimensions (Q1012984)
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scientific article; zbMATH DE number 5548681
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Global existence and asymptotic behavior of solutions to systems of semilinear wave equations in two space dimensions |
scientific article; zbMATH DE number 5548681 |
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Global existence and asymptotic behavior of solutions to systems of semilinear wave equations in two space dimensions (English)
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28 April 2009
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The Cauchy problem for a system of semilinear wave equations with small initial data in \(\mathbb{R}^2\) is dealt with. Sufficient conditions for the existence of a global solution are introduced. Moreover, under some assumptions on the nonlinearities there exist such a small initial data, that the global solutions are not asymptotically free.
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system of semilinear wave equations
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null-condition
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global solution
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asymptotic behavior
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0.9510007
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0.9508513
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0.9452692
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0.94292295
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0.9399997
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