Supercritical Zakharov–Kuznetsov equation posed on bounded rectangles

被引：0
|
作者：
M. Castelli
G. Doronin
机构：
[1] Universidade Estadual de Maringá,Departamento de Matemática
来源：
Zeitschrift für angewandte Mathematik und Physik | 2021年 / 72卷
关键词：
gZK equation; Well-posedness; Exponential decay; 35M20; 35Q72;
D O I：
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学科分类号：
摘要：
An initial boundary value problem for the 2D generalized Zakharov–Kuznetsov equation posed on a bounded rectangle is considered. Supercritical (higher than two) integer powers in nonlinearity have been studied. Results on the existence, uniqueness and exponential decay of solutions are presented.
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