A note on the well-posedness in the energy space for the generalized ZK equation posed on $\mathbb{R}\times\mathbb{T}$

PDEs in connection with optics and electromagnetic theory (35Q60) KdV equations (Korteweg-de Vries equations) (35Q53) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Electro- and magnetostatics (78A30) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

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A note on the well-posedness in the energy space for the generalized ZK equation posed on \(\mathbb{R}\times\mathbb{T}\)