Exponential decay for the linear Zakharov-Kuznetsov equation without critical domain restrictions

被引：4

作者：

Doronin, G. G. ^{[1
]}

Larkin, N. A. ^{[1
]}

机构：

[1] Univ Estadual Maringa, Dept Matemat, BR-87020900 Maringa, Parana, Brazil

来源：

APPLIED MATHEMATICS LETTERS | 2014年 / 27卷

关键词：

ZK equation; Stabilization; BOUNDARY-VALUE PROBLEM; WELL-POSEDNESS;

D O I：

10.1016/j.aml.2013.08.010

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Initial-boundary-value problems for the linear Zakharov-Kuznetsov equation posed on bounded rectangles are considered. The spectral properties of a stationary operator are studied in order to show that the evolution problem posed on a bounded rectangle has no critical restrictions on its size. The exponential decay of regular solutions is established. (C) 2013 Elsevier Ltd. All rights reserved.

引用

页码：6 / 10

页数：5

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