To one problem of Saut-Temam for the 3D Zakharov-Kuznetsov equation
Larkin, Nikolai · Padilha, Marcos
Original · EN
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 H²-norm for small initial data are proven.
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