To one problem of Saut-Temam for the 3D Zakharov-Kuznetsov equation
arXiv:1704.04534 · doi:10.1007/s00245-016-9373-1
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 -norm for small initial data are proven.