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

Published 26 Feb 2013 in math.AP | (1302.6380v1)

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

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