Sharp equivalent for the blowup profile to the gradient of a solution to the semilinear heat equation

G. K. Duong, T. E. Ghoul, H. Zaag

In this paper, we consider the standard semilinear heat equation \begin{eqnarray*} \partial_t u = Δu + |u|^{p-1}u, \quad p >1. \end{eqnarray*} The determination of the (believed to…