On well-posedness of two-component Camassa-Holm system in the critical Besov space

摘要

In this paper, we study the Cauchy problem for a two-component Camassa-Holm system in the critical Besov space B-2,1(1/2). We obtain the solution local existence and prove the solution mapping is Holder continuous with respect to the initial value. (C) 2015 Elsevier Ltd. All rights reserved.