Admissible initial growth for diffusion equations with weakly superlinear absorption

Andrey Shishkov, Laurent Véron

We study the admissible growth at infinity of initial data of positive solutions of $\prt\_t u-\Gd u+f(u)=0$ in $\BBR\_+\ti\BBR^N$ when $f(u)$ is a continuous function, {\it mildly…