On the unique continuation and stabilization for the n-dimensional Zakharov-Kuznetsov equation

Journal of Mathematical Analysis and Applications 2026 Open access

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Authors: Dieme P. da Silva, Roger P. de Moura, Gleison do N. Santos
DOI: 10.1016/j.jmaa.2026.130413
Cited by: 0
References: 33

Abstract

The main purpose of this paper is to prove a unique continuation result for n -dimensional Zakharov-Kuznetsov equations, n ≥ 3 . Our proof relies on complex variable techniques introduced by Bourgain [2] . The Bourgain unique continuation result is here extended for the n -dimensional Zakharov-Kuznetsov equations. As an application we prove the exponential decay of the energy for the n -dimensional Zakharov-Kuznetsov (ZK) equations with localized damping.

Fields of Study & Subjects

Stability and Controllability of Differential Equations Advanced Mathematical Physics Problems Differential Equations and Boundary Problems

Publication details

Journal / source
Journal of Mathematical Analysis and Applications
Volume
558
Issue
1
Pages
130413–130413
Publication date
14 January 2026
Language
EN