椭圆型变分不等式的障碍优化控制问题  

Optimal Obstacle Control Problem

作　　者：朱砾[1] 李秀华[2] 郭兴明[2] 

机构地区：[1]湘潭大学数学系,湖南湘潭411105 [2]上海大学上海市应用数学和力学研究所,上海200072

出　　处：《应用数学和力学》2008年第5期505-514,共10页Applied Mathematics and Mechanics

基　　金：国家自然科学基金资助项目(10472061);教育部博士点基金资助项目(2006080015)

摘　　要：讨论了椭圆型变分不等式的障碍优化控制问题,获得了优化控制问题的解的存在性、唯一性和相关问题的正则性等,并研究了优化控制问题的逼近等.Some properties of the state operators of the optimal obstacle control problem for elliptic variational inequality was discussed, and the existence, uniqueness and regularity of the optimal control problem were established. In addition, the approximate problem of the optimal obstacle problem also was studied.

关 键 词：障碍问题 罚方法 优化系统 逼近问题 

分 类 号：O178[理学—数学] O175.25[理学—基础数学]