We consider an initial-boundary value problem for the hyper- elastic 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.
On an initial-boundary value problem for the hyperelastic rod wave equation / Coclite, Giuseppe Maria; Karlsen, K. H.. - In: ADVANCES IN DIFFERENTIAL EQUATIONS. - ISSN 1079-9389. - 17:1-2(2012), pp. 37-74.
On an initial-boundary value problem for the hyperelastic rod wave equation
COCLITE, Giuseppe Maria;
2012-01-01
Abstract
We consider an initial-boundary value problem for the hyper- elastic 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.File in questo prodotto:
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