Abstract

We first establish the local existence and uniqueness of strong solutions for the Cauchy problem of ageneralized Camassa-Holm equation in nonhomogeneous Besov spaces by using the Littlewood-Paley theory.Then, we prove that the solution depends continuously on the initial data in the corresponding Besov space. Finally, we derive a blow-up criterion and present a blow-up result and a blow-up rate of the blow-up solutions to the equation.

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