一类奇异半线性反应扩散方程组解的存在唯一性

Existence and Uniqueness of a Semilinear Singular Reaction-Diffusion System

讨论了一类具有奇异系数的反应扩散方程组解的存在唯一性问题,运用压缩映象原理,Gronwall不等式,单调收敛定理,Jensen不等式和Holder不等式对存在性和唯一性问题分别做了详细的证明,完善的解决了此类方程组解的存在唯一性问题。

Existence and uniqueness of a class of singular reaction-diffusion coefficient equations were discussed. Existence and uniqueness of the system were separately demonstrated by use of contraction mapping principle, Gronwall inequality, monotone convergence theorem, Jensen＇s inequality and Holder＇s inequality, which improved solutions of existence and uniqueness of such equations.