Loomis-Whitney-type inequalities and low regularity well-posedness of the periodic Zakharov-Kuznetsov equation

DOI10.1016/j.jfa.2020.108904zbMath1458.35374arXiv2003.02694OpenAlexW3010487818MaRDI QIDQ2219462

Shinya Kinoshita, Robert Schippa

Publication date: 20 January 2021

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.02694

zbMATH Keywords

local well-posednessZakharov-Kuznetsov equationshort-time Fourier restriction norm methodnonlinear Loomis-Whitney inequality

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Harmonic analysis and PDEs (42B37)

Related Items (5)

Traveling waves of delayed Zakharov-Kuznetsov Kuramoto-Sivashinsky equation ⋮ The IVP for a periodic generalized ZK equation ⋮ Low regularity well-posedness for KP-I equations: the dispersion-generalized case ⋮ Unnamed Item ⋮ Partial differential equations with quadratic nonlinearities viewed as matrix-valued optimal ballistic transport problems

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