Factorization Problem on the Hilbert-Schmidt Group and the Camassa-Holm Equation
arXiv:math/0601156
Abstract
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.
27 pages. The paper has been thoroughly revised, with new results added and typos corrected. Final version to appear in CPAM