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Control Problem Related to a 2D Parabolic–Elliptic Chemo-Repulsion System with Nonlinear Production
oleh: Exequiel Mallea-Zepeda, Luis Medina
Format: | Article |
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Diterbitkan: | MDPI AG 2023-10-01 |
Deskripsi
In this work, we analyze a bilinear optimal control problem related to a 2D parabolic–elliptic chemo-repulsion system with a nonlinear chemical signal production term. We prove the existence of global optimal solutions with bilinear control, and applying a generic result on the existence of Lagrange multipliers in Banach spaces, we obtain first-order necessary optimality conditions and derive an optimality system for a local optimal solution.