Improved conditions for single-point blow-up in reaction-diffusion systems

Nejib Mahmoudi, Philippe Souplet, Slim Tayachi

We study positive blowing-up solutions of the system: $$u_t-\delta \Delta u=v^p,v_t-\Delta v=u^q,$$ as well as of some more general systems. For any $p,q>1$, we prove single-point blo…