Loss of Hölder Regularity for Solutions of the Generalized Camassa-Holm Equation in Besov Spaces
In this paper, we prove that the continuity of the solution for the generalized Camassa-Holm equation cannot be improved to the Hölder continuity. To be precise, the solution of the generalized Camassa–Holm equation belongs to \(\mathcal {C}([0,T];B^s_{p,r})\) but not to \(\mathcal {C}^\alpha ([0,T];B^s_{p,r})\) with any \(\alpha \in (0,1)\) .
Authors
- Fulai Chen (ORCID: https://orcid.org/0000-0002-0421-4650)
- Jianzhong Lu (ORCID: https://orcid.org/0000-0003-2570-6918)
- Guorong Qu
- Xing Wu
Institutions
- China Tourism Academy (CN)
- College of Tourism (BG)
- Xiangnan University (CN)
- Henan Agricultural University (CN)
Publication Details
- Journal
- Journal of Nonlinear Mathematical Physics
- Published
- 2026-06-18
- DOI
- https://doi.org/10.1007/s44198-026-00445-2
- Primary Topic
- Nonlinear Waves and Solitons
- Type
- article
- Field-Weighted Citation Impact
- 0.00