Local well-posedness for the Zakharov-Kuznetsov equation on the background of a bounded function

José Manuel Palacios

We prove the local well-posedness for the two-dimensional Zakharov-Kuznetsov equation in $H^s({\mathbb{R}}^2)$, for $s\in [1,2]$, on the background of an $L^{\infty }({\mathbb{R}}^3)$-fun…