Type-II blowup for a semilinear heat equation (Q2501621)

The author deals with the blowup of solutions to the Cauchy problem for the semilinear heat equation \[ u_t=\Delta u+ u^p\quad\text{in }\mathbb{R}^d\times (0,\infty), \] \[ u(x,0)= u_0(x)\geq 0\quad\text{in }\mathbb{R}^d \] with \(p> 1\) and \(u_0\in L^\infty(\mathbb{R}^d)\).