Existence, uniqueness, and stabilization results for parabolic variational inequalities

被引：0

作者：

Kroener, Axel ^{[1
]}

Rautenberg, Carlos N. ^{[2
]}

Rodrigues, Sergio S. ^{[3
]}

机构：

[1] Martin Luther Univ Halle Wittenberg, D-06099 Halle, Germany

[2] George Mason Univ, Fairfax, VA USA

[3] OeAW, Johann Radon Inst Computat & Appl Math RICAM, Linz, Austria

来源：

ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS | 2023年 / 29卷

基金：

奥地利科学基金会; 欧盟地平线“2020”;

关键词：

Exponential stabilization; parabolic variational inequalities; oblique projection feedback; Moreau-Yosida approximation; FEEDBACK;

D O I：

10.1051/cocv/2023017

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, we consider feedback stabilization for parabolic variational inequalities of obstacle type with time and space depending reaction and convection coefficients and show exponential stabilization to nonstationary trajectories. Based on a Moreau-Yosida approximation, a feedback operator is established using a finite (and uniform in the approximation index) number of actuators leading to exponential decay of given rate of the state variable. Several numerical examples are presented addressing smooth and nonsmooth obstacle functions.

引用

页数：38

共 34 条

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