EXACT CONTROLLABILITY FOR DEGENERATE AND SINGULAR WAVE EQUATIONS

被引：0

作者：

Zhang, Guang ^{[1
]}

Chai, Shugen ^{[1
]}

机构：

[1] Shanxi Univ, Sch Math & Stat, Taiyuan 030006, Peoples R China

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2025年 / 2025卷

基金：

中国国家自然科学基金;

关键词：

Degenerate wave equation; singular wave equation; controllability; boundary control; NULL CONTROLLABILITY; BOUNDARY CONTROLLABILITY; PARABOLIC EQUATIONS; NONDIVERGENCE FORM; STABILIZATION; INEQUALITIES; STABILITY;

D O I：

10.58997/ejde.2025.04

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

. In this article, we study exact controllability for degenerate and singular wave equations with a general coefficient. We estimate the observability inequality by the multiplier method and determine the observability time. We also deduce the exact controllability of the corresponding degenerate and singular control problem at a sufficiently large time, employing the Hilbert uniqueness method.

引用

页码：1 / 17

页数：17

共 50 条

[41] Exact Internal Controllability and Synchronization for a Coupled System of Wave Equations
Chengxia ZU
Tatsien LI
Bopeng RAO
Chinese Annals of Mathematics,Series B, 2023, (05) : 641 - 662
[42] POTENTIAL WELL AND EXACT BOUNDARY CONTROLLABILITY FOR SEMILINEAR WAVE EQUATIONS
Zhou, Yi
Lai, Ning-An
ADVANCES IN DIFFERENTIAL EQUATIONS, 2011, 16 (11-12) : 1021 - 1047
[43] EXACT CONTROLLABILITY OF WAVE EQUATIONS WITH VARIABLE COEFFICIENTS COUPLED IN PARALLEL
Wu, Jieqiong
Li, Shengjia
Chai, Shugen
ASIAN JOURNAL OF CONTROL, 2010, 12 (05) : 650 - 655
[44] BOUNDARY OBSERVABILITY AND EXACT CONTROLLABILITY OF STRONGLY COUPLED WAVE EQUATIONS
Wehbe, Ali
Koumaiha, Marwa
Toufaily, Layla
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2022, 15 (05): : 1269 - 1305
[45] Exact Internal Controllability and Synchronization for a Coupled System of Wave Equations
Chengxia Zu
Tatsien Li
Bopeng Rao
Chinese Annals of Mathematics, Series B, 2023, 44 : 641 - 662
[46] Applications of exact controllability to some inverse problems for the wave equations
Puel, JP
Yamamoto, M
CONTROL OF PARTIAL DIFFERENTIAL EQUATIONS AND APPLICATIONS, 1996, 174 : 241 - 249
[47] Exact controllability for nonlocal wave equations with nonlocal boundary conditions
Benabbas, Imen
Teniou, Djamel Eddine
ANNALES POLONICI MATHEMATICI, 2024, 132 (03) : 197 - 226
[48] On the observability inequalities for exact controllability of wave equations with variable coefficients
Yao, PF
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1999, 37 (05) : 1568 - 1599
[49] Exact controllability for wave equations with an equivalued boundary on a shrinking "hole"
Du, ZR
Yan, JH
ASYMPTOTIC ANALYSIS, 2004, 40 (3-4) : 287 - 302
[50] EXACT CONTROLLABILITY OF DEGENERATE WAVE EQUATION IN NONDIVERGENCE FORM WITH INTERIOR CONTROL AND DRIFT
Cao, Lanzhi
Chai, Shugen
EVOLUTION EQUATIONS AND CONTROL THEORY, 2025, 14 (02): : 399 - 408

← 1 2 3 4 5 →