Optimal control for variational inequalities

Optimal control for variational inequalities
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DOI:
10.1137/0324025
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发表时间:
1986-05
影响因子:
2.2
通讯作者:
A. Friedman
A. Friedman
中科院分区:
数学2区
文献类型:
--
作者:
A. Friedman

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考虑最大化一个泛函的问题,该泛函依赖于控制函数k和一个椭圆变分不等式的解,其中k出现在数据中。k的变分问题是不可微的和非凸的。我们得到了一个最大值的必要条件,然后使用它们来确定在某些情况下的结构。
Consider the problem of maximizing a functional which depends on a control function k and on the solution of an elliptic variational inequality with k appearing in the data. The variational problem for k is nondiflerentiable and nonconvex. We obtain necessary conditions on a maximizes $k_0 $ and then use them to determine the structure of $k_0 $ in some cases.