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Optimal Control Problem for Non-linear Degenerate Parabolic Variation Inequality: Solvability and Attainability Issues
2023
Journal:  
Journal of Optimization, Differential Equations, and their Applications
Author:  
DOI:  
10.15421/142301
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.

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Journal of Optimization, Differential Equations, and their Applications

Field :   Fen Bilimleri ve Matematik

Journal Type :   Uluslararası

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Article : 59
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Journal of Optimization, Differential Equations, and their Applications