We show that the fifth-order Kadomtsev–Petviashvili II equation is globally well-posed in an anisotropic Gevrey space, which complements earlier results on the well-posedness of this equation in anisotropic Sobolev spaces.

中文翻译：

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各向异性Gevrey空间中五阶Kadomtsev–Petviashvili II方程的整体适定性

我们证明了五阶Kadomtsev–Petviashvili II方程在各向异性Gevrey空间中是全局适定的，它补充了该方程在各向异性Sobolev空间中的适定性的早期结果。