# A boundary control problem for the pure Cahn-Hilliard equation with dynamic boundary conditions

arXiv: https://arxiv.org/abs/1503.03213 · HTML: https://mlsanity.com/paper/1503.03213/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 11 Mar 2015.

## Built on by (most cited first, 1 of 1)

- [Application of deep and reinforcement learning to boundary control problems](https://mlsanity.com/paper/2310.15191/) (2023)

## Abstract (arXiv)

A boundary control problem for the pure Cahn-Hilliard equations with possibly singular potentials and dynamic boundary conditions is studied and first-order necessary conditions for optimality are proved. Key words: Cahn-Hilliard equation, dynamic boundary conditions, phase separation, singular potentials, optimal control, optimality conditions