  Initial-boundary value problems in a half-strip with different types of
boundary conditions for two-dimensional Zakharov-Kuznetsov equation are
considered. Results on global well-posedness in classes of regular solutions in
the cases of periodic and Neumann boundary conditions, as well as on internal
regularity of solutions for all types of boundary conditions are established.
Also in the case of Dirichlet boundary conditions one result on long-time decay
of regular solutions is obtained.
