%0 Journal Article
%T Well-posed initial-boundary value problems for the Zakharov-Kuznetsov equation
%A Andrei V. Faminskii
%J Electronic Journal of Differential Equations
%D 2008
%I Texas State University
%X This paper deals with non-homogeneous initial-boundary value problems for the Zakharov-Kuznetsov equation, which is one of the variants of multidimensional generalizations of the Korteweg-de Vries equation. Results on local and global well-posedness are established in a scale of Sobolev-type spaces under natural assumptions on initial and boundary data.
%K Zakharov-Kuznetsov equation
%K boundary value problems
%K well-posedness
%U http://ejde.math.txstate.edu/Volumes/2008/127/abstr.html