%0 Journal Article
%T A Remark on the modified Zakharov-Kuznetsov equation in three space dimensions
%A Axel Grščnrock
%J Mathematics
%D 2013
%I arXiv
%X 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 $H^1(\R^3)$.
%U http://arxiv.org/abs/1302.6380v1