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January/February 2012 On an initial-boundary value problem for the hyperelastic rod wave equation
Giuseppe Maria Coclite, Kenneth Hvistendahl Karlsen
Adv. Differential Equations 17(1/2): 37-74 (January/February 2012).

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.

Citation

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Giuseppe Maria Coclite. Kenneth Hvistendahl Karlsen. "On an initial-boundary value problem for the hyperelastic rod wave equation." Adv. Differential Equations 17 (1/2) 37 - 74, January/February 2012.

Information

Published: January/February 2012
First available in Project Euclid: 17 December 2012

zbMATH: 1252.35131
MathSciNet: MR2906729

Subjects:
Primary: 35A05, 35G30, 35L05

Rights: Copyright © 2012 Khayyam Publishing, Inc.

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Vol.17 • No. 1/2 • January/February 2012
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