This paper establishes local existence and uniqueness of solutions for Keller-Segel equations, highlighting nonuniform dependence in Besov spaces.
It was proved in the Hadamard local well‐posedness result for the d‐dimensional Keller–Segel equations in Besov spaces with and with , respectively. In this paper, we obtain the local‐in‐time existence and uniqueness of solution to the d‐dimensional Keller–Segel equations in . Moreover, we prove that the data‐to‐solution of the Keller–Segel equations is continuous but not uniformly continuous in .
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Ding et al. (2025) studied this question.
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