Blow-up of solution of an initial boundary value problem for a generalized Camassa-Holm equation

preprint2009arXivOpen access

Abstract

In this paper, we study an initial boundary value problem for a generalized Camassa-Holm equation. We establish local well-posedness of this closed-loop system by using Kato theorem for abstract quasilinear evolution equation of hyperbolic type. Then, by using multiplier technique, we obtain a conservation law which enable us to present a blow-up result.

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