Non-simultaneous blow-up for a system with local and non-local diffusion

Leandro M. Del Pezzo, Raul Ferreira

We study the possibility of non-simultaneous blow-up for positive solutions of a coupled system of two semilinear equations, $u_t=J\ast u-u+u^{\alpha }{v}^p$, $v_t=\Delta v^{+}{u}^q{v}^{\beta }$, $p, q, α, β>0…