### On an initial-boundary value problem for the hyperelastic rod wave equation

#### Abstract

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.

#### Article information

Source
Adv. Differential Equations, Volume 17, Number 1/2 (2012), 37-74.

Dates
First available in Project Euclid: 17 December 2012

Mathematical Reviews number (MathSciNet)
MR2906729

Zentralblatt MATH identifier
1252.35131

#### Citation

Coclite, Giuseppe Maria; Karlsen, Kenneth Hvistendahl. On an initial-boundary value problem for the hyperelastic rod wave equation. Adv. Differential Equations 17 (2012), no. 1/2, 37--74. https://projecteuclid.org/euclid.ade/1355703097