From Gaussian estimates for nonlinear evolution equations to the long time behavior of branching processes

L. Beznea, L. I. Ignat, J. D. Rossi

We study solutions to the evolution equation $u_t=\Delta u-u+{\sum }_{k⩾1}{q}_k{u}^k$, $t>0$, in ${\mathbf{R}}^d$. Here the coefficients $q_k⩾0$ verify $ \sum_{k\geqslant 1}q_k…