Preprint A172/2002
Well-posedness results for the modified Zakharov- Kuznetsov equation
Felipe Linares | Biagioni, Hebe
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.