Andrei V. Faminskii
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.
Submitted February 23, 2008. Published September 10, 2008.
Math Subject Classifications: 35Q72.
Key Words: Zakharov-Kuznetsov equation; boundary value problems; well-posedness.
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|Andrei V. Faminskii |
Department of Mathematics
Peoples' Friendship University of Russia
Miklukho--Maklai str. 6, Moscow, 117198, Russia
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