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most citedThe Cauchy problem for the shallow water typ equations in low regularity spaces on the circle

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math.AP2020

Sharp well-posedness of the Cauchy problem for the rotation-modified Kadomtsev-Petviashvili equation in anisotropic Sobolev spaces

Wei Yan, Yimin Zhang, Yongsheng Li +1

We consider the Cauchy problem for the rotation-modified Kadomtsev-Petviashvili (RMKP) equation \begin{align*} \partial_{x}\left(u_{t}-β\partial_{x}^{3}u +\partial_{x}(u^{2})\right…