Homogenization of optimal control problems in variable domains. Principle of the fictitious homogenization

Kogut PI, Leugering G (2001)

Publication Language: English

Publication Status: Published

Publication Type: Journal article, Original article

Publication year: 2001

Journal

Asymptotic Analysis IOS Press

Publisher: IOS Press

Book Volume: 26

Pages Range: 37-72

Journal Issue: 1

URI: http://content.iospress.com/articles/asymptotic-analysis/asy438

Abstract

We consider the optimal control problems for the linear elliptic equations in perforated domains. Each components of mathematical description of such optimal control problem depends on small parameter epsilon. Problems of this type appear in sensitivity analysis, perturbation theory, and homogenization of heterogenous material. We study the problem of passing to the limit within the framework of variational S-convergence. We derive conditions under which the so-called fictitious limiting optimal control problem can be made explicit.

Authors with CRIS profile

Günter Leugering Lehrstuhl für Angewandte Mathematik

Involved external institutions

Oles Honchar Dnipropetrovsk National University / Дніпропетровський національний університет імені Олеся Гончара UA Ukraine (UA)

How to cite

APA:

Kogut, P.I., & Leugering, G. (2001). Homogenization of optimal control problems in variable domains. Principle of the fictitious homogenization. Asymptotic Analysis, 26(1), 37-72.

MLA:

Kogut, Peter I., and Günter Leugering. "Homogenization of optimal control problems in variable domains. Principle of the fictitious homogenization." Asymptotic Analysis 26.1 (2001): 37-72.

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