On the propagation of regularity for solutions of the Zakharov–Kuznetsov equation
On the propagation of regularity for solutions of the Zakharov–Kuznetsov equation
In this paper, we focus on the Zakharov–Kuznetsov (ZK) equation in the [Formula: see text]-dimensional setting with [Formula: see text] and investigate its smoothness properties. We extend the well-known regularity propagation phenomenon observed in the 2D and 3D cases, where the regularity of the initial data on certain half-spaces propagates …