Department of Mathematics
Peoples' Friendship University of Russia
Miklukho--Maklai str. 6, Moscow, 117198, Russia
email: andrei_faminskii@mail.ru
Andrei V. Faminskii
Abstract:
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 email: andrei_faminskii@mail.ru |
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