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On the local well-posedness of the Benjamin-Ono-Zakharov-Kuznetsov equation
We study the Cauchy problem for the Benjamin--Ono--Zakharov--Kuznetsov equation on $\mathbb R^2$. Following the strategy of Kenig and Ziesler, we establish new maximal-function estimates adapted to the BO--ZK equation and use them to implement the Kenig--Koenig method. As a result, we improve the be
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