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.
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页码：311 / 325
页数：15
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