Remarks on the asymptotic behavior of the cubic nonlinear Klein-Gordon equations in one space dimension. (Q976608)
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scientific article; zbMATH DE number 5720816
| Language | Label | Description | Also known as |
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| English | Remarks on the asymptotic behavior of the cubic nonlinear Klein-Gordon equations in one space dimension. |
scientific article; zbMATH DE number 5720816 |
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Remarks on the asymptotic behavior of the cubic nonlinear Klein-Gordon equations in one space dimension. (English)
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15 June 2010
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The large time behavior of the solution to the Cauchy problem for the one-dimensional, cubic nonlinear Klein-Gordon equation with complex-valued initial data is studied. It is shown that the small amplitude solution decays like \(t^{-1/2}\) as \(t\) tends to infinity. Several remarks are also given on the large time asymptotics.
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nonlinear Klein-Gordon equation
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large time behavior
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