H-solvability of the optimal control problem for a degenerate elliptic variational inequality

TitleH-solvability of the optimal control problem for a degenerate elliptic variational inequality
Publication TypeJournal Article
Year of Publication2015
AuthorsZadoianchuk, NV
Abbreviated Key TitleDopov. Nac. akad. nauk Ukr.
DOI10.15407/dopovidi2015.08.021
Issue8
SectionMathematics
Pagination21-27
Date Published8/2015
LanguageUkrainian
Abstract

We consider the optimal control problem for a degenerate elliptic variational inequality with weight function of potential type, which is in a differential operator. We prove the solvability of the optimal control problem in the class of the so-called H-admissible solutions. We justify the property of closureness for the set of H-admissible pairs in the product of topologies of the control space and the space of states.
Keywordsdegenerate weight function of potential type, elliptic variational inequality, H-admissible solution, H-optimal solution, optimal control problem
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