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

被引：49

作者：

Colli, Pierluigi ^{[1
,2
]}

Gilardi, Gianni ^{[1
,2
]}

Sprekels, Juergen ^{[3
,4
]}

机构：

[1] Univ Pavia, Dipartimento Matemat F Casorati, I-27100 Pavia, Italy

[2] CNR, IMATI, I-27100 Pavia, Italy

[3] Weierstrass Inst Appl Anal & Stochast, D-10117 Berlin, Germany

[4] Humboldt Univ, Dept Math, D-10099 Berlin, Germany

来源：

ADVANCES IN NONLINEAR ANALYSIS | 2015年 / 4卷 / 04期

关键词：

Cahn-Hilliard equation; dynamic boundary conditions; phase separation; singular potentials; optimal control; optimality conditions; SINGULAR POTENTIALS;

D O I：

10.1515/anona-2015-0035

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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.

引用

页码：311 / 325

页数：15

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