Advances in Differential Equations

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

Giuseppe Maria Coclite and Kenneth Hvistendahl Karlsen

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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

Permanent link to this document
https://projecteuclid.org/euclid.ade/1355703097

Mathematical Reviews number (MathSciNet)
MR2906729

Zentralblatt MATH identifier
1252.35131

Subjects
Primary: 35G30: Boundary value problems for nonlinear higher-order equations 35L05: Wave equation 35A05

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.


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