An initial-boundary value problem for three-dimensional Zakharov-Kuznetsov equation

An initial-boundary value problem with homogeneous Dirichlet boundary conditions for three-dimensional Zakharov-Kuznetsov equation is considered. Results on global existence, uniqueness and large-time decay of weak solutions in certain weighted spaces are established. © 2015 Elsevier Inc.

Authors
Faminskii A.V. 1
Journal
Journal of Differential Equations
Publisher
Academic Press Inc.
Issue number
3
Language
English
Pages
3029-3055
State
Published
Link
External link
DOI
10.1016/J.JDE.2015.10.027
Volume
260
Year
2016
Organizations
  • 1 Department of Mathematics, Peoples' Friendship University of Russia, Miklukho-Maklai str. 6, Moscow, 117198, Russian Federation
Keywords
Initial-boundary value problems; Weak solutions; Zakharov-Kuznetsov equation
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