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arXiv · 1704.04534

To one problem of Saut-Temam for the 3D Zakharov-Kuznetsov equation

Nikolai Larkin·Marcos Padilha
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Abstract

An initial-boundary value problem for the 3D Zakharov-Kuznetsov equation posed on an unbounded domain 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, Marcos Padilha. 2017-04-14. To one problem of Saut-Temam for the 3D Zakharov-Kuznetsov equation. https://doi.org/10.1007/s00245-016-9373-1

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