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

Advances in Nonlinear Analysis

article

Pierluigi Colli¹  Gianni Gilardi¹  Jürgen Sprekels² 

[1] Dipartimento di Matematica “F. Casorati”, Università di Pavia, and Research Associate at the IMATI – C.N.R. PAVIA;Weierstrass Institute for Applied Analysis and Stochastics;Department of Mathematics, Humboldt-Universität zu Berlin

关键词: Cahn–Hilliard equation;    dynamic boundary conditions;    phase separation;    singular potentials;    optimal control;    optimality conditions;   

DOI  :  10.1515/anona-2015-0035

学科分类：社会科学、人文和艺术（综合）

来源: De Gruyter

【 摘 要 】

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.

【 授权许可】

CC BY