A Remark on the modified Zakharov-Kuznetsov equation in three space dimensions

Axel Grünrock

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arXiv · 1302.6380

A Remark on the modified Zakharov-Kuznetsov equation in three space dimensions

Axel Grünrock

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Abstract

The Cauchy Problem for the modified Zakharov-Kuznetsov equation in three space dimensions is shown to be locally well-posed in $H^s(\R^3)$ for $s > \frac12$. Combined with the conservation of mass and energy this result implies global well-posedness for small data in $H^1(\R^3)$.

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Axel Grünrock. 2013-02-26. A Remark on the modified Zakharov-Kuznetsov equation in three space dimensions. https://arxiv.org/abs/1302.6380

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