Global classical solutions for a class of reaction-diffusion system with density-suppressed motility

Wenbin Lyu, Zhi-An Wang

This paper is concerned with a class of reaction-diffusion system with density-suppressed motility \begin{equation*} \begin{cases} u_{t}=Δ(γ(v) u)+αu F(w), & x \in Ω, \quad t>0, \\…