Physical Review D - Particles, Fields, Gravitation and Cosmology. Vol. 78. 2008.
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. © 2008 Texas State University - San Marcos.