Optimal bilinear control problem related to a chemo-repulsion system in 2D domains
ESAIM: Control, Optimisation and Calculus of Variations, Tome 26 (2020), article no. 29

In this paper, we study a bilinear optimal control problem associated to a chemo-repulsion model with linear production term in a bidimensional domain. The existence, uniqueness and regularity of strong solutions of this model are deduced, proving the existence of a global optimal solution. Afterwards, we derive first-order optimality conditions by using a Lagrange multipliers theorem.

DOI : 10.1051/cocv/2019012
Classification : 35K51, 35Q92, 49J20, 49K20
Keywords: Chemorepulsion-production model, strong solutions, bilinear control, optimality conditions 
@article{COCV_2020__26_1_A29_0,
     author = {Guill\'en-Gonz\'alez, Francisco and Mallea-Zepeda, Exequiel and Rodr{\'\i}guez-Bellido, Mar{\'\i}a \'Angeles},
     title = {Optimal bilinear control problem related to a chemo-repulsion system in {2D} domains},
     journal = {ESAIM: Control, Optimisation and Calculus of Variations},
     year = {2020},
     publisher = {EDP Sciences},
     volume = {26},
     doi = {10.1051/cocv/2019012},
     mrnumber = {4079209},
     zbl = {1442.35189},
     language = {en},
     url = {https://www.numdam.org/articles/10.1051/cocv/2019012/}
}
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Guillén-González, Francisco; Mallea-Zepeda, Exequiel; Rodríguez-Bellido, María Ángeles. Optimal bilinear control problem related to a chemo-repulsion system in 2D domains. ESAIM: Control, Optimisation and Calculus of Variations, Tome 26 (2020), article no. 29. doi: 10.1051/cocv/2019012

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