Global bounded solutions of the higher-dimensional Keller-Segel system under smallness conditions in optimal spaces

Xinru Cao

In this paper, the fully parabolic Keller-Segel system \begin{equation} \left\{ \begin{array}{llc} u_t=Δu-\nabla\cdot(u\nabla v), &(x,t)\in Ω\times (0,T),\\ v_t=Δv-v+u, &(x,t)\inΩ\…