WIAS Preprint No. 2095, (2015)

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


Authors

  • Colli, Pierluigi
    ORCID: 0000-0002-7921-5041
  • Gilardi, Gianni
    ORCID: 0000-0002-0651-4307
  • Sprekels, Jürgen
    ORCID: 0009-0000-0618-8604

2010 Mathematics Subject Classification

  • 35K55 35K50 82C26

Keywords

  • Cahn--Hilliard equation, dynamic boundary conditions, phase separation, singular potentials, optimal control, optimality conditions

DOI

10.20347/WIAS.PREPRINT.2095

Abstract

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.

Appeared in

  • Adv. Nonlinear Anal., 4 (2015) pp. 311--325.

Download Documents