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= u+|u|^p-1u is studied. This equation admits the ODE type blowup given by u (x, t) = (p-1) ¹p-1 (T-t) ^-1{p-1}. It is known that nondegenerate ODE type blowup is stable if p (1, n+2n-2) due to Fermanian Kammerer-Merle-Zaag (2000). This paper extends their result to more general case.