ASYMPTOTIC STABILITY OF INTERMITTENTLY DAMPED SEMI-LINEAR HYPERBOLIC-TYPE EQUATIONS

被引：0

作者：

Luo, Jun-Ren ^{[1
]}

Xiao, Ti-Jun ^{[2
]}

机构：

[1] Univ Shanghai Sci & Technol, Coll Sci, Shanghai 200093, Peoples R China

[2] Fudan Univ, Sch Math Sci, Shanghai Key Lab Contemporary Appl Math, Shanghai 200433, Peoples R China

来源：

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2023年 / 22卷 / 01期

关键词：

Intermittent (on-off) damping; asymptotic stability; evolution equation; Hilbert space; WAVE-EQUATION; DECAY; BEHAVIOR; SYSTEM;

D O I：

10.3934/cpaa.2022126

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Of concern is asymptotic stability for second order semilinear evolution equations in a Hilbert space with intermittent damping. We obtain asymptotic stability results, without the assumption that the damping coefficient a(t) is always positive, which means that the unique damping term could vanish sometimes. Moreover, we do not need the condition that the main linear operator A is coercive, that is, A could have a non-trivial kernel.

引用

页码：82 / 99

页数：18

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