一类半线性反应扩散方程组解的整体存在和有限爆破  

Global existence and finite blow up for a kind of semilinear reaction-diffusion system

作　　者：修宗湖[1] 陈才生[1] 

机构地区：[1]河海大学理学院,江苏南京210098

出　　处：《河海大学学报（自然科学版）》2005年第3期350-353,共4页Journal of Hohai University(Natural Sciences)

摘　　要：通过构造上下解的方法,给出了由3个方程组成的反应扩散方程组的齐次边界问题在p1p2p3<m1m2m3和p1p2p3>m1m2m3条件下,其非负解整体存在和有限爆破的充分条件,并考虑了参数α,β,γ及区域形状对其解性质的影响.所得结果可以推广到n个方程的情况.By use of the upper and lower solution method, the sufficient condition was given for the global existence and finite blow up of non-negative solutions to the homogeneous boundary problem of the semilinear reaction-diffusion system consisting of three equations under the condition of p_1p_2p_3<m_1m_2m_3 and p_1p_2p_3>m_1m_2m_3, with the parameters α,β, and　γ and the shape of the bounded domain taken into account. The results obtained can be extended to the system consisting of n equations.

关 键 词：半线性反应扩散方程组 整体存在 有限爆破 齐次边界 

分 类 号：O175.29[理学—数学]