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math.AP2019★ 2 cited
Well-posedness for the Cauchy problem of the modified Zakharov-Kuznetsov equation
Shinya Kinoshita
This paper is concerned with the Cauchy problem of the modified Zakharov-Kuznetsov equation on . If , we prove the sharp estimate which implies local in time wel…
math.AP2019
Global Well-posedness for the Cauchy problem of the Zakharov-Kuznetsov equation in 2D
Shinya Kinoshita
This paper is concerned with the Cauchy problem of the D Zakharov-Kuznetsov equation. We prove bilinear estimates which imply local in time well-posedness in the Sobolev space $…