Optimal singularities of initial functions for solvability of a semilinear parabolic system

Yohei Fujishima, Kazuhiro Ishige

Let $(u,v)$ be a nonnegative solution to the semilinear parabolic system \[ \mbox{(P)} \qquad \cases{ \partial_t u=D_1Δu+v^p, & $x\in {\mathbf{R}}^N,t>0,$\\ \partial_t v=D_2Δv+u^q,…