FAR EASTERN BRANCH OF THE RUSSIAN ACADEMY OF SCIENCES
INSTITUTE OF APPLIED MATHEMATICS KHABAROVSK DIVISION
Far Eastern Mathematical Journal
Optimal multiplicative control of a semilinear parabolic equation |
Chebotarev A.Yu. |
2023, issue 2, P. 270-277 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. |
Keywords: optimal control problems, optimality system, semilinear parabolic equation, multiplicative control. |
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References |
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