The stabilizability of heat equations with time-dependent coefficients

被引：2

作者：

Li, Lingfei ^{[1
]}

Gao, Hang ^{[1
]}

机构：

[1] Northeast Normal Univ, Sch Math & Stat, Jilin 132012, Jilin, Peoples R China

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2020年 / 43卷 / 06期

基金：

中国国家自然科学基金;

关键词：

heat equation; stabilization; time-dependent coefficients; FEEDBACK STABILIZATION;

D O I：

10.1002/mma.6085

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the stabilizability of heat equations with time-dependent coefficients. The instability of the systems is illustrated by special solutions. The boundary feedback stabilization results are established by the backstepping method where the growth order of the kernel function depends on time.

引用

页码：2836 / 2844

页数：9

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