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De Lellis, C; Kappeler, T; Topalov, P (2007). Low-regularity solutions of the periodic Camassa-Holm equation. Communications in Partial Differential Equations, 32(1):87-126.
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.
| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Scopus Subject Areas: | Physical Sciences > Analysis
Physical Sciences > Applied Mathematics |
| Language: | English |
| Date: | 2007 |
| Deposited On: | 09 Apr 2009 20:26 |
| Last Modified: | 06 Jan 2025 04:35 |
| Publisher: | Taylor & Francis |
| ISSN: | 0360-5302 |
| Additional Information: | This is an electronic version of an article published in "De Lellis, C; Kappeler, T; Topalov, P (2007). Low-regularity solutions of the periodic Camassa-Holm equation. Communications in Partial Differential Equations, 32(1):87-126". Communications in Partial Differential Equations is available online at: http://www.informaworld.com/smpp/content~db=all~content=a770238307 |
| OA Status: | Green |
| Publisher DOI: | https://doi.org/10.1080/03605300601091470 |
De Lellis, C