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...

Full description

Saved in:
Bibliographic Details
Main Authors: Gisèle Mophou, Arnaud Fournier, Célia Jean-Alexis
Format: Article
Language:English
Published: MDPI AG 2025-01-01
Series:Axioms
Subjects:
Online Access:https://www.mdpi.com/2075-1680/14/1/38
Tags: Add Tag
No Tags, Be the first to tag this record!