Bilinear Optimal Control of the Keller–Segel Logistic Model in 2D-Domains

被引：0
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作者：
P. Braz e Silva
F. Guillén-González
C. F. Perusato
M. A. Rodríguez-Bellido
机构：
[1] Universidade Federal de Pernambuco,Dpto. Matemática
[2] Universidad de Sevilla,Dpto. Ecuaciones Diferenciales y Análisis Numérico and IMUS, Facultad de Matemáticas
来源：
Applied Mathematics & Optimization | 2023年 / 87卷
关键词：
Chemotaxis model; Logistic reaction; Weak solutions; Bilinear optimal control; Optimality conditions; 35K51; 35Q92; 49J20; 49K20;
D O I：
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摘要：
An optimal control problem associated to the Keller–Segel with logistic reaction system is studied in 2D domains. The control acts in a bilinear form only in the chemical equation. The existence of an optimal control and a necessary optimality system are deduced. The main novelty is that the control can be rather singular and the state (cell density u and the chemical concentration v) remains only in a weak setting, which is not usual in the literature.
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