一类反应扩散方程组的注记

Note on A Class of Reaction Diffusion Systems

当反应函数f_1(u)具有整体Lipschitz条件时,初边值问题有唯一整体解。在适当条件下,证明了平衡解方程有唯一解且是全局渐近稳定的。

When the reaction functions f1(u1,u2) are global lipschitz continuous, it is proved that the initial and boundarg value problems has unique global solution. Moreover,for some Special cases, it is proved that there exists unique equilibrium solution and it is global asymptotically stable.