%0 Journal Article %T Global Weak Solution for a generalized Camassa-Holm equation %A Xi Tu %A Zhaoyang Yin %J Mathematics %D 2015 %I arXiv %X In this paper we mainly investigate the Cauchy problem of a generalized Camassa-Holm equation. First by this relationship between the Degasperis-Procesi equation and the generalized Camassa-Holm equation, we then obtain two global existences result and two blow-up result. Then, we prove the existence and uniqueness of global weak solutions. %U http://arxiv.org/abs/1511.02848v1