An Initial-Boundary Value Problem in a Strip for Two-Dimensional Equations of Zakharov-Kuznetsov Type

An initial-boundary value problem in a strip with homogeneous Dirichlet boundary conditions for the two-dimensional generalized Zakharov-Kuznetsov equation is considered. In particular, dissipative and absorbing degenerate terms can be supplemented to the original Zakharov-Kuznetsov equation. Results on global existence, uniqueness and long-time decay of weak solutions are established.