An initial-boundary value problem for the critical generalized 2D Zakharov–Kuznetsov equation posed on rectangles is considered. The existence, uniqueness, and exponential decay rate of global regular solutions for small initial data are established.

中文翻译：

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矩形上临界二维 Zakharov-Kuznetsov 方程的正则解的衰减

考虑了在矩形上提出的临界广义二维 Zakharov-Kuznetsov 方程的初始边界值问题。建立了小初始数据全局正则解的存在性、唯一性和指数衰减率。