ON AN INITIAL-BOUNDARY VALUE PROBLEM FOR THE HYPERELASTIC ROD WAVE EQUATION

被引：1
|
作者：
Coclite, Giuseppe Maria [1 ]
Karlsen, Kenneth Hvistendahl [2 ]
机构：
[1] Univ Bari, Dept Math, I-70125 Bari, Italy
[2] Univ Oslo, CMA, N-0316 Oslo, Norway
来源：
ADVANCES IN DIFFERENTIAL EQUATIONS | 2012年 / 17卷 / 1-2期
关键词：
SHALLOW-WATER EQUATION; CAMASSA-HOLM EQUATION; GLOBAL WEAK SOLUTIONS; HALF-LINE;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider an initial-boundary value problem for the hyperelastic rod wave equation (a special case of which is the Camassa-Holm equation). We establish the existence of a global-in-time weak solution. Moreover, we prove a "weak equals strong" uniqueness result.
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页码：37 / 74
页数：38
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