2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/173603We prove that perturbing the reaction--diffusion equation $u_t=u_{xx} + (u_+)^p$ ($p>1$), with time--space white noise produces that solutions explodes with probability one for every initial datum, opposite to the deterministic model where a positive stationary solution exists.New results included. To be published in Physica DAnalysis of PDEsProbability60H15, 35R60, 35B60Time--space white noise eliminates global solutions in reaction diffusion equationstext