Blow-up of solution of an initial boundary value problem for a generalized Camassa-Holm equation
arXiv:0907.5506 · doi:10.1016/j.physleta.2008.02.032
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.
14 pages