On the Optimal Control of Variational Inequalities

On the Optimal Control of Variational Inequalities
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DOI:
10.1007/3-540-07623-9_311
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发表时间:
1975-09
期刊:
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影响因子:
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通讯作者:
F. Patrone
F. Patrone
中科院分区:
其他
文献类型:
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作者:
F. Patrone

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我们证明了由伪单调算子控制的变分不等式的最优控制的一个存在性定理:假设代价是二次的。然后,我们把这个定理推广到更一般的代价(假设算子是单调的);我们还给出了一个关于摄动问题的结果。
We prove an existence theorem for the optimal control of variational inequalities governed by a pseudomonotone operator: the cost is assumed to be quadratic. Then, we give an extension of the theorem to more general costs (assuming the operator to be monotone); we also give a result on a perturbation problem.