Resonant decompositions and global well-posedness for 2D Zakharov-Kuznetsov equation in Sobolev spaces of negative indices

DOI10.1016/J.JDE.2023.01.046OpenAlexW3011803478MaRDI QIDQ2694255

Min Jie Shan, Bao Xiang Wang, Li-Qun Zhang

Publication date: 28 March 2023

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.07515

zbMATH Keywords

global well-posednessZakharov-Kuznetsov equationresonant decompositionLoomis-Whitney inequalitybilinear Strichartz estimate

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) KdV equations (Korteweg-de Vries equations) (35Q53) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Resonance in context of PDEs (35B34) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (2)

Local well-posedness and spatial analyticity for the generalized Zakharov-Kuznetsov equation ⋮ Lower bounds on the radius of spatial analyticity for the 2D generalized Zakharov-Kuznetsov equation

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