Location of blow-up points in fully parabolic chemotaxis systems with spatially heterogeneous logistic source

We consider the fully parabolic, spatially heterogeneous chemotaxis-growth system {align*} {cases} u_t = Δ u - ∇·(u∇ v) + κ(x)u-μ(x)u^2, \\ v_t = Δ v - v + u {cases} {align*} in bounded domains Ω⊂ R² and show that the blow-up set is contained in the set of zeroes of μ.