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Well-Posedness for the Two-dimensional Zakharov-Kuznetsov Equation

Published 26 Jul 2018 in math.AP | (1807.10123v2)

Abstract: We show the global well-posedness for the two-dimensional Zakharov-Kuznetsov equation in $H{s}({\mathbb{R}2})$ when $\frac{11}{13}<s<1$ via the I-method. Additionally, local well-posedness for the symmetrized ZK equation in $ B\frac{1}{2}_{2,1}(\mathbb{R}2)$ is established by using atomic spaces.

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Authors (1)

  1. Shan Minjie 

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