该文研究一类带非局部源项的反应扩散方程组.作者证明了初值充分大时解在有限时刻爆破,建立了爆破解的爆破速率估计以及边界层估计。
This paper deals with a reaction-diffusion system with nonlocal sources. The authors first show that the solution blows up in finite time T if the initial data is large enough, then establish the estimates of the blow-up rates and the asymptotic behavior of the solution. Finally the size of the boundary layer is given.