Global rough solutions to the sixth-order Boussinesq equation

被引：14
|
作者：
Wang, Hongwei [1 ]
Esfahani, Amin [2 ]
机构：
[1] Anyang Normal Univ, Sch Math & Stat, Anyang 455000, Peoples R China
[2] Damghan Univ, Sch Math & Comp Sci, Damghan, Iran
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2014年 / 102卷
关键词：
Global rough solution; Boussinesq equation; Modified energy functional; Almost conservation law; WELL-POSEDNESS; EXISTENCE; KDV;
D O I：
10.1016/j.na.2014.02.006
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We show that the Cauchy problem for the sixth-order Boussinesq equation with cubic nonlinearity is globally well-posed in H-s(R) provided 3/2 < s < 2. (C) 2014 Elsevier Ltd. All rights reserved.
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页码：97 / 104
页数：8
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