Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5024662 | Nonlinear Analysis: Theory, Methods & Applications | 2017 | 19 Pages |
Abstract
In this paper we consider the Cauchy problem for a generalized Camassa-Holm equation with cubic nonlinearity in Besov spaces. We first establish the local well-posedness of the equation in the Besov space Bp,rs by using the Littlewood-Paley theory. Then, under a sign condition we reach the sign-preserved property and a precise blow-up criterion. Applying this precise criterion we present a blow-up result and the precise blow-up rate for strong solutions to the equation.
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Authors
Min Li, Zhaoyang Yin,