Stability of nondegenerate ODE type blowup for the Fujita type heat equation

The asymptotic bahavior of blowup solutions to the Fujita type heat equation uₜ=Δ u+|u|ᵖ⁻¹u is studied. This equation admits the ODE type blowup given by u(x,t)=(p-1)¹/p-1(T-t)-1/p-1. It is known that nondegenerate ODE type blowup is stable if p∈(1,n+2/n-2) due to Fermanian Kammerer-Merle-Zaag (2000). This paper extends their result to more general case.