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A remark on the modified Zakharov-Kuznetsov equation in three space dimensions
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 > 1 2 .Combined with the conservation of mass and energy this result implies global well-posedness for small data in H 1 (R 3 …