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

Autor: Andrei V. Faminskii
Jazyk: angličtina
Rok vydání: 2008
Předmět:
Zdroj: Electronic Journal of Differential Equations, Vol 2008, Iss 127,, Pp 1-23 (2008)
Druh dokumentu: article
ISSN: 1072-6691
Popis: 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.
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