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.

引用

页码：37 / 74

页数：38

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