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arxiv: 1302.2034 · v1 · pith:BRX7RYD3new · submitted 2013-02-08 · 🧮 math.AP

The Fourier restriction norm method for the Zakharov-Kuznetsov equation

classification 🧮 math.AP
keywords equationfouriermethodnormrestrictionzakharov-kuznetsovbilinearcauchy
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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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