The Fourier restriction norm method for the Zakharov-Kuznetsov equation (Q379862)
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scientific article; zbMATH DE number 6224720
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Fourier restriction norm method for the Zakharov-Kuznetsov equation |
scientific article; zbMATH DE number 6224720 |
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The Fourier restriction norm method for the Zakharov-Kuznetsov equation (English)
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11 November 2013
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The Cauchy problem for the Zakharov-Kuznetsov equation is shown to be locally well-posed in \(H^s (\mathbb R^2)\) for all \(s>1/2\). The Zakharov-Kuznetsov equation is a higher-dimensional generalization of the KdV equation. They use the Fourier restriction norm method and bilinear refinements of Strichartz type inequalities, to improve the previously obtained well-posedness results.
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Zakharov-Kuznetsov equation
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well-posedness
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Cauchy problem
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bilinear estimates
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Fourier restriction norm method
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0.8878244
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0.8864118
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0.8863514
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