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Optimal multiplicative control of a semilinear parabolic equation
A. Yu. Chebotarev Far Eastern Federal University, Vladivostok
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.
Received: 03.05.2023 Accepted: 14.11.2023
Citation:
A. Yu. Chebotarev, “Optimal multiplicative control of a semilinear parabolic equation”, Dal'nevost. Mat. Zh., 23:2 (2023), 270–277
Linking options:
https://www.mathnet.ru/eng/dvmg525 https://www.mathnet.ru/eng/dvmg/v23/i2/p270
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Abstract page: | 62 | Full-text PDF : | 29 | References: | 13 |
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