Bilinear Optimal Control for a Nonlinear Parabolic Equation Involving Nonlocal-in-Time Term

Bilinear Optimal Control for a Nonlinear Parabolic Equation Involving Nonlocal-in-Time Term

We study a bilinear optimal control problem for an evolution equation with a nonlinear term that depends on both the state and its time integral. First, we establish existence and uniqueness results for this evolution equation. Then, we derive weak maximum principle results to improve the regularity...

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Bibliographic Details
Main Authors: Gisèle Mophou, Arnaud Fournier, Célia Jean-Alexis
Format: Article
Language:English
Published: MDPI AG 2025-01-01
Series:Axioms
Subjects:
differentiability
maximum principle
nonlocal-in-time
optimal control problem
parabolic partial differential equation
Schauder’s fixed-point theorem
Online Access:https://www.mdpi.com/2075-1680/14/1/38
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