Initial traces and solvability of Cauchy problem to a semilinear parabolic system

Yohei Fujishima, Kazuhiro Ishige

Let $(u,v)$ be a solution to a semilinear parabolic system \[ \mbox{(P)} \qquad \begin{cases} \partial_t u=D_1Δu+v^p\quad & \quad\mbox{in}\quad{\bf R}^N\times(0,T),\\ \partial_t v=…