Well-Posedness of the Keller–Segel System in Fourier–Besov–Morrey Spaces
Xiaoli ChenJiangxi Normal University, Nanchang, China
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. 417–433DOI 10.4171/ZAA/1621