A critical nonlinearity for blow-up in a higher-dimensional chemotaxis system with indirect signal production

Yiheng Zhao

The Neumann problem in balls $\Omega \subset {\mathbb{R}}^n$, $n\in \{3,4\}$, for the chemotaxis system \begin{equation*} \left\{ \begin{array}{ll} u_t = Δu - \nabla \cdot (u\nabla v), \\[1m…