%0 Journal Article %T Factorization Problem on the Hilbert-Schmidt Group and the Camassa-Holm Equation %A Luen-Chau Li %J Mathematics %D 2006 %I arXiv %X In this paper, we solve the Camassa-Holm equation for a relatively large class of initial data by using a factorization problem on the Hilbert-Schmidt group. %U http://arxiv.org/abs/math/0601156v2