Well-posedness and Continuity Properties of a generalized Degasperis-Procesi equation in $B^1_{\infty,1}$
| Autor: | Shaohui Gui, Min Li, Shiping Zhong |
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| Rok vydání: | 2022 |
| DOI: | 10.22541/au.165388861.14298485/v1 |
| Popis: | In this paper, we obtain the local-in-time existence and uniqueness of solution to the generalized Degasperis-Procesi equation in $B^1_{\infty,1}(\mathbb{R})$. Moreover, we prove that the data-to-solution of this equation is continuous but not uniformly continuous in $B^1_{\infty,1}(\mathbb{R})$ |
| Databáze: | OpenAIRE |
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