Well-posed initial-boundary value problems for the Zakharov-Kuznetsov equation

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 spa...

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Bibliographic Details
Main Author: Andrei V. Faminskii
Format: Article
Language:English
Published: Texas State University 2008-09-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2008/127/abstr.html