Applied Mathematics and Mechanics (English Edition) ›› 2008, Vol. 29 ›› Issue (5): 559-570 .doi: https://doi.org/10.1007/s10483-008-0501-5
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朱砾,李秀华,郭兴明
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ZHU Li, LI Xiu-hua, GUO Xing-ming
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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。
关键词: 障碍问题, 罚方法, 优化系统, 逼近问题
Abstract: In the paper we discuss some properties of the state operators of the optimal obstacle control problem for elliptic variational inequality. Existence, uniqueness and regularity of the optimal control problem are established. In addition, the approximation of the optimal obstacle problem is also studied.
Key words: obstacle problem,penalized method，optimality system，approximate problem
中图分类号:
O178
O175.25
O224
49K10
朱砾;李秀华;郭兴明. 椭圆型变分不等式的障碍优化控制问题[J]. Applied Mathematics and Mechanics (English Edition), 2008, 29(5): 559-570 .
ZHU Li;LI Xiu-hua;GUO Xing-ming. Optimal obstacle control problem[J]. Applied Mathematics and Mechanics (English Edition), 2008, 29(5): 559-570 .
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链接本文: https://www.amm.shu.edu.cn/CN/10.1007/s10483-008-0501-5
https://www.amm.shu.edu.cn/CN/Y2008/V29/I5/559
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