Well‐Posedness and Nonuniform Dependence for the Keller–Segel Equations in B∞, <sup>1</sup> <sub>1</sub>
ABSTRACT 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 .
Authors
- Yanghai Yu (ORCID: https://orcid.org/0000-0002-6322-6993)
- Yanna Ding (ORCID: https://orcid.org/0009-0000-0704-7678)
Institutions
- Anhui Normal University (CN)
Publication Details
- Journal
- Mathematical Methods in the Applied Sciences
- Published
- 2025-10-08
- DOI
- https://doi.org/10.1002/mma.70205
- Primary Topic
- Mathematical Biology Tumor Growth
- Type
- article
- Field-Weighted Citation Impact
- 0.00