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

DOI10.1619/FESI.63.67zbMath1458.35393OpenAlexW3036572882MaRDI QIDQ5117670

Min Jie Shan

Publication date: 26 August 2020

Published in: Funkcialaj Ekvacioj (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1619/fesi.63.67

zbMATH Keywords

well-posednessI-methodZakharov-Kuznetsov equationatomic spaces

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (6)

On inner regularity of solutions of two-dimensional Zakharov-Kuznetsov equation ⋮ Local well-posedness and spatial analyticity for the generalized Zakharov-Kuznetsov equation ⋮ Resonant decompositions and global well-posedness for 2D Zakharov-Kuznetsov equation in Sobolev spaces of negative indices ⋮ Global well-posedness and global attractor for two-dimensional Zakharov-Kuznetsov equation ⋮ Lower bounds on the radius of spatial analyticity for the 2D generalized Zakharov-Kuznetsov equation ⋮ Global well-posedness and existence of the global attractor for the Kadomtsev-Petviashvili II equation in the anisotropic Sobolev space

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