The 2D Kawahara Equation on a Half-Strip

被引：8

作者：

Larkin, Nikolai A. ^{[1
]}

机构：

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

来源：

APPLIED MATHEMATICS AND OPTIMIZATION | 2014年 / 70卷 / 03期

关键词：

Kawahara equation; Dispersive equations; Exponential decay; KORTEWEG-DE-VRIES; ZAKHAROV-KUZNETSOV EQUATION; BOUNDARY-VALUE-PROBLEMS; WELL-POSEDNESS; SOLITARY WAVES; CAUCHY-PROBLEM; ZK EQUATION;

D O I：

10.1007/s00245-014-9246-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We formulate on a half-strip an initial boundary value problem for the two-dimensional Kawahara equation. Existence and uniqueness of a regular solution as well as the exponential decay rate for the elevated norm parallel to u parallel to(2)(H)((D)) (t) + parallel to u(xx)parallel to L-2(2) (D) ((t)) of small solutions as t -> infinity are proven.

引用

页码：443 / 468

页数：26

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