A boundary control problem for the pure Cahn--Hilliard equation with dynamic boundary conditions
- Colli, Pierluigi
- Gilardi, Gianni
- Sprekels, Jürgen
2010 Mathematics Subject Classification
- 35K55 35K50 82C26
- Cahn--Hilliard equation, dynamic boundary conditions, phase separation, singular potentials, optimal control, optimality conditions
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.
- Adv. Nonlinear Anal., 4 (2015) pp. 311--325.