Leugering G, Kogut PI (2001)
Publication Language: English
Publication Status: Published
Publication Type: Journal article, Original article
Publication year: 2001
Publisher: European Mathematical Society
Book Volume: 20
Pages Range: 395-429
Journal Issue: 2
URI: https://www.ems-ph.org/journals/show_abstract.php?issn=0232-2064&vol=20&iss=2&rank=9
DOI: 10.4171/ZAA/1023
We study the limiting behavior of an optimal control problem for a linear elliptic equation subject to control and state constraints. Each constituent of the mathematical description of such an optimal control problem may depend on a small parameter epsilon. We study the limit of this problem when epsilon --> 0 in the framework of variational S-convergence which generalizes the concept of F-convergence. We also introduce the notion of G*-convergence generalizing the concept of G-convergence to operators. with constraints. We show convergence of the sequence of optimal control problems and identify its limit. We then apply the theory to an elliptic problem on a perforated domain.
APA:
Leugering, G., & Kogut, P.I. (2001). On S-homogenization of an optimal control problem with control and state constraints. Zeitschrift für Analysis und ihre Anwendungen, 20(2), 395-429. https://doi.org/10.4171/ZAA/1023
MLA:
Leugering, Günter, and Peter I. Kogut. "On S-homogenization of an optimal control problem with control and state constraints." Zeitschrift für Analysis und ihre Anwendungen 20.2 (2001): 395-429.
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