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Generalized ZK Equation posed on a Half-Strip

2020/10/25 by Nikolai A. Larkin, Larkin, Nikolai
Engineering · Mathematics · Physics and Astronomy · #2010: 35G61 #35Q53 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Waves and Solitons #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.2011.01028

openalex publication_date 2020/10/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

An initial-boundary value problem for the generalized 2D Zakharov-Kuznetsov equation posed on the right half-strip is considered. Existence, uniqueness and the exponential decay rate of global regular solutions for small initial data are established.

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