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

Mathematics – Analysis of PDEs

Scientific paper

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

Scientific paper

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.

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