Well-Posedness of the Keller–Segel System in Fourier–Besov–Morrey Spaces
Xiaoli Chen
Jiangxi Normal University, Nanchang, China
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Abstract
In this note, we investigate the Cauchy problem for Keller–Segel system with fractional diffusion for the initial data in the critical Fourier–Bessov–Morrey spaces with . The global well-posedness with a small initial data of the solution to Keller–Segel system of double-parabolic type is established.
Cite this article
Xiaoli Chen, Well-Posedness of the Keller–Segel System in Fourier–Besov–Morrey Spaces. Z. Anal. Anwend. 37 (2018), no. 4, pp. 417–433
DOI 10.4171/ZAA/1621