Optimal bilinear control problem related to a chemo-repulsion system in 2D domains

Guillén-González, Francisco; Mallea-Zepeda, Exequiel; Rodríguez-Bellido, María Ángeles

ESAIM: Control, Optimisation and Calculus of Variations, Tome 26 (2020), article no. 29.

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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.

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