English

Factorization Problem on the Hilbert-Schmidt Group and the Camassa-Holm Equation

Analysis of PDEs 2007-05-23 v2 Mathematical Physics math.MP

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.

Cite

@article{arxiv.math/0601156,
  title  = {Factorization Problem on the Hilbert-Schmidt Group and the Camassa-Holm Equation},
  author = {Luen-Chau Li},
  journal= {arXiv preprint arXiv:math/0601156},
  year   = {2007}
}

Comments

27 pages. The paper has been thoroughly revised, with new results added and typos corrected. Final version to appear in CPAM