| Title | Low-regularity solutions of the periodic Camassa-Holm equation. |
| Publication Type | Journal Article |
| Year of Publication | 2007 |
| Authors | De Lellis C., Kappeler T., Topalov P. |
| Journal | Communications in Partial Differential Equations |
| Volume | 32 |
| Pagination | 87–126 |
| Publisher | Taylor & Francis |
| Type of Article | other |
| ISSN | 0360-5302 |
| Abstract | We prove local existence and uniqueness of weak solutions of the Camassa-Holm equation with periodic boundary conditions in various spaces of low-regularity which include the periodic peakons. The proof uses the connection of the Camassa-Holm equation with the geodesic flow on the diffeomorphism group of the circle with respect to the L2 metric. |
| Notes | Comm. Partial Differential Equations 32 (2007), no. 1-3, 87–126. |
| URL | https://www.tandfonline.com/doi/abs/10.1080/03605300601091470 |
| DOI | 10.1080/03605300601091470 |
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