Classification of positive solutions of heat equation with supercritical absorption

Konstantinos Gkikas, Laurent Veron

Let $q\ge 1+\frac{2}{N}$. We prove that any positive solution of (E) $\prt_t u-\xD u+u^q=0$ in ${\mathbb{R}}^N\times (0,\infty )$ admits an initial trace which is a nonnegative Borel…