一类带有Neumann边界条件的反应扩散方程组解的整体存在性和爆破性

Global Existence and Blow-up in Finite Time of Solutions to One Kind of Reaction-Diffusion Equations with Neumann Boundary Conditions

基于比较原理讨论一类带有Neumann边界条件的反应扩散方程组解的性质.利用一些参数关系和方程组自身的耦合情况,构造整体存在的上解和具有爆破形式的下解,通过不等式处理技巧,得到了解整体存在和在有限时刻爆破的条件.

Based on the comparison principles, the properties of one kind of reaction-diffusion equations with Neumann boundary conditions are discussed. The relations of parameters and the situation of the coupled about equations are used to construct the global existent super-solutions and the blowing-up sub-solutions, and then the conditions of the global existence and blow-up in finite time solutions with the processing techniques of inequality are obtained.