2D ZAKHAROV-KUZNETSOV-BURGERS EQUATIONS WITH VARIABLE DISSIPATION ON A STRIP

被引：0

作者：

Larkin, Nikolai A. ^{[1
]}

机构：

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

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2015年

关键词：

KdV-Burgers equation; dispersive equations; exponential decay; BOUNDARY-VALUE-PROBLEM; KORTEWEG-DE-VRIES; WELL-POSEDNESS; CAUCHY-PROBLEM; DECAY;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An initial-boundary value problem for a 2D Zakharov-KuznetsovBurgers type equation with dissipation located in a neighborhood of x = -infinity and posed on a channel-type strip was considered. The existence and uniqueness results for regular and weak solutions in weighted spaces as well as exponential decay of small solutions without restrictions on the width of a strip were proven both for regular solutions in an elevated norm and for weak solutions in the L-2-norm.

引用

页数：20

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