| Contents |
| We consider the blow up time of positive solutions for the reaction-diffusion system:
\begin{align*}
u_t&=\Delta u+ u^{p_1}v^{q_1},\\
v_t&=\Delta v+ u^{p_2}v^{q_2}.
\end{align*}
Especially for non-decaying initial data, it is shown that the blow up time for the system is strongly related to that for the corresponding system of ordinary differential equations. The proof is divided into three cases by whether the nonlinearities are superlinear or not. |
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