Optimal Control in Matrix-Valued Coefficients for Nonlinear Monotone Problems: Optimality Conditions I
Kogut PI, Kupenko OP, Leugering G (2015)
Publication Status: Published
Publication Type: Journal article
Publication year: 2015
Journal
Publisher: European Mathematical Society
Book Volume: 34
Pages Range: 85-108
Journal Issue: 1
DOI: 10.4171/ZAA/1530
Abstract
In this article we study an optimal control problem for a nonlinear monotone Dirichlet problem where the controls are taken as matrix-valued coefficients in L-infinity (Omega; R-NxN). For the exemplary case of a tracking cost functional, we derive first order optimality conditions. This first part is concerned with the general case of matrix-valued coefficients under some hypothesis, while the second part focuses on the special class of diagonal matrices.
Authors with CRIS profile
Additional Organisation(s)
Involved external institutions
National Academy of Sciences of Ukraine (NAN) / Національна академія наук України
Ukraine (UA)
Oles Honchar Dnipropetrovsk National University / Дніпропетровський національний університет імені Олеся Гончара
Ukraine (UA)
Ukraine (UA)
Oles Honchar Dnipropetrovsk National University / Дніпропетровський національний університет імені Олеся Гончара
Ukraine (UA)
How to cite
APA:
Kogut, P.I., Kupenko, O.P., & Leugering, G. (2015). Optimal Control in Matrix-Valued Coefficients for Nonlinear Monotone Problems: Optimality Conditions I. Zeitschrift für Analysis und ihre Anwendungen, 34(1), 85-108. https://dx.doi.org/10.4171/ZAA/1530
MLA:
Kogut, Peter I., Ol'Ga P. Kupenko, and Günter Leugering. "Optimal Control in Matrix-Valued Coefficients for Nonlinear Monotone Problems: Optimality Conditions I." Zeitschrift für Analysis und ihre Anwendungen 34.1 (2015): 85-108.
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