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arXiv · 2105.08380

Well-posedness and Continuity Properties of the Degasperis-Procesi equation in critical Besov space

Jinlu Li·Yanghai Yu·Weipeng Zhu
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Abstract

In this paper, we obtain the local-in-time existence and uniqueness of solution to the Degasperis-Procesi equation in $B^1_{\infty,1}(\R)$. Moreover, we prove that the data-to-solution of this equation is continuous but not uniformly continuous in $B^1_{\infty,1}$.

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Jinlu Li, Yanghai Yu, Weipeng Zhu. 2021-05-18. Well-posedness and Continuity Properties of the Degasperis-Procesi equation in critical Besov space. https://arxiv.org/abs/2105.08380

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