强耦合抛物组解的整体存在性和不存在性

Global Existence and Nonexistence for a Strongly Coupled Parabolic System

本文利用半群方法证明了一类强耦合非线性抛物型方程组初边值问题的整体解存在性;用特征函数方法,给出了整体解不存在的一个充分条件.

In this paper,the global existence of the initial-boundary-value problem for a strongly coupled parabolic system is considered by the semigroup method;with the characteristic function method,the author gives a sufficient coundition which makes the nonegative solution of the problem(I)exist only in a bounded interval (0,T_(max)),(T_(max)<+∞).