Optimal Control Problem for Non-linear Degenerate Parabolic Variation Inequality: Solvability and Attainability Issues
Open Access
- 1 May 2023
- journal article
- research article
- Published by Oles Honchar Dnipropetrovsk National University in Journal of Optimization, Differential Equations and their Applications
- Vol. 31 (1) , 1-21
Abstract
We investigate the optimal control problem with respect to coefficients of the degenerate parabolic variational inequality. Since problems of this type can have the Lavrentieff effect, we consider the optimal control problem in a class of so-called Hadmissible solutions. We substantiate the attainability of H-optimal pairs via optimal solutions of some nondegenerate perturbed optimal control problems.Keywords
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