Time--space white noise eliminates global solutions in reaction   diffusion equations
  We 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. 
Juli\'an Fern\'andez Bonder, Pablo Groisman