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Dal'nevostochnyi Matematicheskii Zhurnal, 2023, Volume 23, Number 2, Pages 270–277
DOI: https://doi.org/10.47910/FEMJ202324 (Mi dvmg525) 		 
Optimal multiplicative control of a semilinear parabolic equation

A. Yu. Chebotarev

Far Eastern Federal University, Vladivostok
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DOI: https://doi.org/10.47910/FEMJ202324
Abstract: An analysis of optimal control problems for a nonlinear parabolic initial-boundary value problem that models the dynamics of the collective behavior of a bacterial community is presented. Estimates for the solution of the initial-boundary value problem are obtained, the solvability of control problems is proved, and optimality conditions are derived. The weak «bang-bang» principle is set for the problem with the final observation.
Key words: optimal control problems, optimality system, semilinear parabolic equation, multiplicative control.
Funding agency Grant number
Russian Science Foundation 23-21-00087
The study was supported by the Russian Science Foundation grant No. 23-21-00087.
Received: 03.05.2023
Accepted: 14.11.2023
Document Type: Article
UDC: 517.95
MSC: Primary 35J61; Secondary 35Q79
Language: Russian
Citation: A. Yu. Chebotarev, “Optimal multiplicative control of a semilinear parabolic equation”, Dal'nevost. Mat. Zh., 23:2 (2023), 270–277
Citation in format AMSBIB
\Bibitem{Che23}
\by A.~Yu.~Chebotarev
\paper Optimal multiplicative control of a semilinear parabolic equation
\jour Dal'nevost. Mat. Zh.
\yr 2023
\vol 23
\issue 2
\pages 270--277
\mathnet{http://mi.mathnet.ru/dvmg525}
\crossref{https://doi.org/10.47910/FEMJ202324}
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