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arXiv · 1302.2034

The Fourier restriction norm method for the Zakharov-Kuznetsov equation

Axel Grünrock·Sebastian Herr
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Abstract

The Cauchy problem for the Zakharov-Kuznetsov equation is shown to be locally well-posed in H^s(R^2) for all s>1/2 by using the Fourier restriction norm method and bilinear refinements of Strichartz type inequalities.

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Axel Grünrock, Sebastian Herr. 2013-02-08. The Fourier restriction norm method for the Zakharov-Kuznetsov equation. https://doi.org/10.3934/dcds.2014.34.2061

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