Optimality Conditions for Sparse Optimal Control of Viscous Cahn–Hilliard Systems with Logarithmic Potential

2025/06/07 by Colli, Pierluigi, Sprekels, Jürgen, Tröltzsch, Fredi
#500 Naturwissenschaften und Mathematik::510 Mathematik::510 Mathematik #first- and second-order optimality conditions #optimal control #singular potential #sparsity #viscous Cahn–Hilliard equation

paper · doi:10.14279/depositonce-23797

Abstract

A Correction to this article was published on 19 February 2025: Applied Mathematics & Optimization (2024) 90:47 https://doi.org/10.1007/s00245-025-10234-w

Related

• Optimality conditions for sparse optimal control of viscous Cahn-Hilliard systems with logarithmic potential
• Second-order optimality conditions for the sparse optimal control of nonviscous Cahn-Hilliard systems
• Optimal Control of a Higher-Order Cahn-Hilliard Equation Coupled with Brinkman Equation
• Well-posedness and optimal control for a Cahn-Hilliard-Oono system with control in the mass term
• On the optimal control of viscous Cahn-Hilliard systems with hyperbolic relaxation of the chemical potential