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On blow‐up rate for sign‐changing solutions in a convex domain

On blow‐up rate for sign‐changing solutions in a convex domain

Abstract This paper studies a growth rate of a solution blowing up at time T of the semilinear heat equation u t − Δ u − ∣ u ∣ p −1 u =0 in a convex domain D in ℝ n with zero‐boundary condition. For a subcritical p ∈ (1,( …