Optimal Control of Stochastic Variational Inequalities

被引：0

作者：

Grecksch, Wilfried ^{[1
]}

Khan, Akhtar A. ^{[2
]}

Sama, Miguel ^{[3
]}

Tammer, Christiane ^{[1
]}

机构：

[1] Martin Luther Univ Halle Wittenberg, Inst Math, Halle, Germany

[2] Rochester Inst Technol, Sch Math Sci, Rochester, NY USA

[3] Univ Nacl Educ Distancia, Dept Matemat Aplicada, Madrid, Spain

来源：

MINIMAX THEORY AND ITS APPLICATIONS | 2024年 / 9卷 / 01期

关键词：

Stochastic optimal control; partial differential equations with random data; stochastic approximation; regularization; penalization; BOUNDARY-VALUE-PROBLEMS; INVERSE PROBLEMS; COLLOCATION; CONSTRAINTS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This work focuses on the optimal control problem for elliptic stochastic variational inequalities where the diffusivity coefficient and the source term are random fields. Besides recalling the existence theorem for the stochastic elliptic variational inequalities, we also give an existence result for the optimal control problem, which is posed as a stochastic optimization problem. We conduct two preliminary computational experiments by coupling the penalty method with the stochastic approximation approach.

引用

页码：117 / 128

页数：12

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