中文摘要：

研究了一类由退化半线性抛物方程所支配的分布参数系统的最优控制问题．当退化点集的测度为零时，利用正则化方法和变分思想，得到了该分布参数系统最优控制的Pontryagin最大值原理．

英文摘要：

Optimal control problems for distributed parameter system governed by a class of degenerate semilinear parabolic equation are considered. When the measure of degenerate-points is zero, Pontryagin maximum principle for optimal control of the distributed parameter system is obtained by using regularization method and variational thought.