Subcritical well-posedness results for the Zakharov-Kuznetsov equation in dimension three and higher

DOI10.5802/AIF.3547zbMath1515.35249arXiv2001.09047OpenAlexW4310134808MaRDI QIDQ6040275

Shinya Kinoshita, Sebastian Herr

Publication date: 24 May 2023

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.09047

zbMATH Keywords

Cauchy problemwell-posednessbilinear estimateZakharov-Kuznetsov equationnonlinear Loomis-Whitney inequality

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Maximal functions, Littlewood-Paley theory (42B25) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Soliton solutions (35C08) Time-dependent Schrödinger equations and Dirac equations (35Q41) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (4)

Nonlinear waves and dispersive equations. Abstracts from the workshop held June 26 -- July 2, 2022 ⋮ Asymptotic stability of solitary waves of the 3D quadratic Zakharov-Kuznetsov equation ⋮ On the propagation of regularity for solutions of the Zakharov–Kuznetsov equation ⋮ Local well-posedness and spatial analyticity for the generalized Zakharov-Kuznetsov equation

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