Attainability Issue for the Optimal Control Problem in Coefficients for a Degenerate Parabolic Variational Inequality

We study the optimal control problem in coefficients for the degenerate parabolic variational inequality. Since problems of this type may have the Lavrent’ev effect, we consider the optimal control problem in a class of so-called H-admissible solutions. We substantiate the attainability of H-optimal...

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Bibliographic Details
Published in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2021-11, Vol.258 (5), p.636-654
Main Author: Kasimova, N. V.
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
Optimal control
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Summary:We study the optimal control problem in coefficients for the degenerate parabolic variational inequality. Since problems of this type may have the Lavrent’ev effect, we consider the optimal control problem in a class of so-called H-admissible solutions. We substantiate the attainability of H-optimal pairs via the optimal solutions of some nondegenerate perturbed optimal control problems under the condition of solvability of the original degenerate problem.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-021-05571-4