Self-similar solutions of semilinear heat equations with positive speed

Kyeongsu Choi, Jiuzhou Huang

We classify the smooth self-similar solutions of the semilinear heat equation $u_t=\Delta u+|u{|}^{p-1}u$ in ${\mathbb{R}}^n\times (0,T)$ satisfying an integral condition for all $p>1$ with…