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BIBTEX RIS

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

2023; Springer Science+Business Media; Volume: 87; Issue: 3 Linguagem: Inglês

10.1007/s00245-023-09988-y

ISSN

1432-0606

Autores

Pablo Braz e Silva, Francisco Guillén‐González, Cilon Perusato, María Ángeles Rodríguez‐Bellido,

Tópico(s)

Cancer Cells and Metastasis

Resumo

Abstract 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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