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On the Cauchy problem for the generalized Camassa–Holm equation |
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| Authors: | Zhaoyang Yin |
| Affiliation: | Department of Mathematics, Zhongshan University, 510275 Guangzhou, China; Institute for Applied Mathematics, University of Hanover, D-30167 Hanover, Germany |
| Abstract: | We establish the local well-posedness for the generalized Camassa–Holm equation. We also prove that the equation has smooth solutions that blow up in finite time. |
| Keywords: | 35G25 35L05 |
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