Mallea-Zepeda, E.; Medina, L. Control Problem Related to a 2D Parabolic–Elliptic Chemo-Repulsion System with Nonlinear Production. Symmetry2023, 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.
Mallea-Zepeda, E.; Medina, L. Control Problem Related to a 2D Parabolic–Elliptic Chemo-Repulsion System with Nonlinear Production. Symmetry2023, 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:
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