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Control Problem Related to a 2D Parabolic-Elliptic Chemo-Repulsion System with Nonlinear Production
Version 1
: Received: 21 September 2023 / Approved: 27 September 2023 / Online: 29 September 2023 (16:25:50 CEST)
A peer-reviewed article of this Preprint also exists.
Mallea-Zepeda, E.; Medina, L. Control Problem Related to a 2D Parabolic–Elliptic Chemo-Repulsion System with Nonlinear Production. Symmetry 2023, 15, 1949. Mallea-Zepeda, E.; Medina, L. Control Problem Related to a 2D Parabolic–Elliptic Chemo-Repulsion System with Nonlinear Production. Symmetry 2023, 15, 1949.
Abstract
In this paper we study a bilinear optimal control problem related to a 2D parabolic-elliptic chemo-repulsion system consider a nonlinear chemical signal production term. We prove the existence of global optimal solutions with bilinear control, and applying a result on the existence of Lagrange multipliers in Banach spaces, we derive an optimality system for a local optimal solution.
Keywords
Chemo-repulsion system; optimal control problem; optimality conditions.
Subject
Computer Science and Mathematics, Applied Mathematics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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