On the Directional Differentiability of the Solution Mapping for a Class of Variational Inequalities of the Second Kind

被引：0
|
作者：
M. Hintermüller
T. M. Surowiec
机构：
[1] Humboldt-Universität zu Berlin,Department of Mathematics
[2] Philipps-Universität Marburg,Department of Mathematics and Computer Science
[3] Weierstrass Institute,undefined
来源：
Set-Valued and Variational Analysis | 2018年 / 26卷
关键词：
Variational inequalities of the second kind; Free boundary problems; Variational analysis; Generalized differentiation; Hadamard directional differentiability; Conical differentiability; Control-to-state mapping; Optimal control of variational inequalities; PDE-constrained optimization; 35B30; 35B37; 35J88; 35R35; 49A29; 49J20; 49K20; 49J40; 49J53; 47J20; 93C20;
D O I：
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中图分类号：
学科分类号：
摘要：
The directional differentiability of the solution mapping for a class of variational inequalities of the second kind inspired by applications in fluid mechanics and moving free boundary problems is investigated. The result is particularly relevant for the model predictive control or optimal control of such variational inequalities in that it can be used to derive stationarity conditions and efficient numerical methods.
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页码：631 / 642
页数：11
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