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    • Bilinear Optimal Control of the Keller–Segel Logistic Model in 2D-Domains
    Authors: P. Braz e, Silva; F. Guillén-González, Guillén-González; C. F., Perusato;  Advisor: -;  Co-Author: - (2023)

    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.