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arXiv · 1411.7307

Global regular solutions for the 3D Zakharov-Kuznetsov equation posed on a bounded domain

Nikolai Larkin
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Abstract

An initial-boundary value problem for the 3D Zakharov-Kuznetsov equation posed on bounded domains is considered. Existence and uniqueness of a global regular solution as well as exponential decay of the $H^2$-norm for small initial data are proven.

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Nikolai Larkin. 2014-11-26. Global regular solutions for the 3D Zakharov-Kuznetsov equation posed on a bounded domain. https://doi.org/10.1063/1.4928924

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