一类反应扩散方程局部解的存在性与唯一性

Existence and Uniqueness of Local Solutions for a Class of Reaction-Diffusion Equations

应用Hahn-Banach不动点定理,刻画Banach空间内一类反应扩散方程弱解的局部存在性,再利用Gronwall不等式证得局部解的唯一性.

This paper deal with the existence and uniqueness of local reaction-diffusion equations. Hahn-Banach Theorem is used to prove solutions for a class of the existence of local solutions and Gronwall＇s Inequality is used to prove the uniqueness.