Optimal Control Problem for Non-linear Degenerate Parabolic Variation Inequality: Solvability and Attainability Issues

Autor:	Nina V. Kasimova, Olha P. Kupenko, Iryna M. Tsyganivska
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	parabolic variation inequality optimal control problem control in coefficients approximation existence result attainability result Mathematics QA1-939
Zdroj:	Journal of Optimization, Differential Equations and Their Applications, Vol 31, Iss 1, Pp 1-21 (2023)
Druh dokumentu:	article
ISSN:	2617-0108 2663-6824
DOI:	10.15421/142301
Popis:	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.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/ab40c988c318479390dfbeaa09129bd7 Zobrazit plný text záznamu View record in DOAJ