Weak solutions of a mixed problem in a half-strip for a generalized Kawahara equation

被引：6

作者：

Sangare, K. ^{[1
]}

Faminskii, A. V. ^{[1
]}

机构：

[1] Peoples Friendship Univ Russia, Moscow, Russia

来源：

MATHEMATICAL NOTES | 2009年 / 85卷 / 1-2期

基金：

俄罗斯基础研究基金会;

关键词：

Kawahara equation; long nonlinear wave; inhomogeneous medium; weak dispersion; Korteweg-de Vries (KdV) equation; Parseval's equality; DE-VRIES EQUATION; DISPERSIVE EQUATIONS; WAVES; SOLITONS;

D O I：

10.1134/S000143460901009X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider a mixed problem in a half-strip for a generalized Kawahara equation describing long nonlinear waves in inhomogeneous media with weak dispersion. We study the existence and uniqueness of generalized solutions in Sobolev weight spaces.

引用

页码：90 / 100

页数：11

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