Bilinear optimal control of the Keller-Segel logistic model in \(2D\)-domains

DOI10.1007/s00245-023-09988-yzbMath1518.35436arXiv2206.15111OpenAlexW4362554769MaRDI QIDQ6043151

Pablo Braz e Silva, Cilon F. Perusato, Maria Angeles Rodríguez-Bellido, Francisco Guillén-González

Publication date: 4 May 2023

Published in: Applied Mathematics and Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2206.15111

zbMATH Keywords

optimality conditionsweak solutionschemotaxis modelbilinear optimal controllogistic reaction

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Existence theories for optimal control problems involving partial differential equations (49J20) Cell movement (chemotaxis, etc.) (92C17) Quasilinear parabolic equations (35K59) PDEs in connection with control and optimization (35Q93) Initial-boundary value problems for second-order parabolic systems (35K51)

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