Global Well-Posedness for the Fifth-Order Kadomtsev-Petviashvili II Equation in Anisotropic Gevrey Spaces

Abstract

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.