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arXiv · 1903.02027

On the Cauchy problem for higher dimensional Benjamin-Ono and Zakharov-Kuznetsov equations

Robert Schippa
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Abstract

A family of dispersive equations is considered which links a higher dimensional Benjamin-Ono equation and the Zakharov-Kuznetsov equation. For these fractional Zakharov-Kuznetsov equations new well-posedness results are proved using transversality and localization of time to small frequency dependent time intervals.

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Robert Schippa. 2019-03-05. On the Cauchy problem for higher dimensional Benjamin-Ono and Zakharov-Kuznetsov equations. https://doi.org/10.3934/dcds.2020225

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