Abstract
In this paper, we consider the blow-up properties of the radial solutions of the nonlocal parabolic equation u t = Δ u + λ u α ( ∫ B 1 ( u + 1 ) − α d x ) p , x ∈ B 1 , t > 0 , with homogeneous Dirichlet boundary condition, where λ , p > 0 , 0 < α ≤ 1 . The criteria for the solutions to blow-up in finite time is given. It is proved that the blow-up is global and uniform for 0 < α < 1 , global and nonuniform for α = 1 . The blow-up rate of | u | ∞ is also determined.
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