Self-similar blow-up patterns for a reaction-diffusion equation with weighted reaction in general dimension

Razvan Gabriel Iagar, Ana I. Muñoz, Ariel Sánchez

We classify the finite time blow-up profiles for the following reaction-diffusion equation with unbounded weight: $${\partial }_{t}u=\Delta u^m+|x{|}^{\sigma }{u}^p,$$ posed in any space dimension $x\i…