## Differential and Integral Equations

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

N.A. Larkin

#### 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.

#### Article information

Source
Differential Integral Equations, Volume 29, Number 7/8 (2016), 775-790.

Dates
First available in Project Euclid: 3 May 2016