Preprint A172/2002
Well-posedness results for the modified Zakharov- Kuznetsov equation

Felipe Linares | Biagioni, Hebe

**Keywords: **

We establish local and global well-posedness for the
modified Zakharov-Kuznetsov equation for initial data
in $H^1(\mathbb R^2)$. We use smoothing estimates for
solutions of the linear problem plus a fixed point
argument to obtain the local result.