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Decay of regular solutions for the critical 2D Zakharov–Kuznetsov equation posed on rectangles

An initial-boundary value problem for the critical generalized 2D Zakharov–Kuznetsov equation posed on rectangles is considered. The existence, uniqueness, and exponential decay rate of global regular solutions for small initial… Click to show full abstract

An initial-boundary value problem for the critical generalized 2D Zakharov–Kuznetsov equation posed on rectangles is considered. The existence, uniqueness, and exponential decay rate of global regular solutions for small initial data are established.

Keywords: posed rectangles; kuznetsov equation; equation posed; zakharov kuznetsov; regular solutions

Journal Title: Journal of Mathematical Physics
Year Published: 2020

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