Exact controllability for wave equations with an equivalued boundary on a shrinking "hole"

被引:0
作者
Du, ZR [1 ]
Yan, JH
机构
[1] Fudan Univ, Inst Math, Shanghai 200433, Peoples R China
[2] Fudan Univ, Dept Math, Shanghai 200433, Peoples R China
关键词
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper we obtain the exact controllability for wave equations with an equivalued boundary on a "hole" in a bounded domain, and prove that when the "hole" shrinks to a point, the HUM solutions converge in a suitable sense.
引用
收藏
页码:287 / 302
页数:16
相关论文
共 50 条
[21]   EXACT CONTROLLABILITY ON THE BOUNDARY OF MAXWELL EQUATIONS [J].
NALIN, O .
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1989, 309 (13) :811-815
[22]   EXACT BOUNDARY CONTROLLABILITY FOR THE WAVE EQUATION WITH MOVING BOUNDARY DOMAINS IN A STAR-SHAPED HOLE [J].
Nunes, Ruikson S. O. .
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2021,
[23]   Exact controllability for semilinear wave equations [J].
Li, LY ;
Zhang, X .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2000, 250 (02) :589-597
[24]   Partial exact controllability for wave equations [J].
He, Yong .
SYSTEMS & CONTROL LETTERS, 2017, 103 :45-49
[25]   Exact Boundary Controllability and Energy Decay for a System of Wave Equations Linearly Coupled [J].
Ruikson S. O. Nunes .
Mediterranean Journal of Mathematics, 2021, 18
[26]   Global exact boundary controllability for 1-D quasilinear wave equations [J].
Wang, Ke .
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2011, 34 (03) :315-324
[27]   Exact Boundary Controllability and Energy Decay for a System of Wave Equations Linearly Coupled [J].
Nunes, Ruikson S. O. .
MEDITERRANEAN JOURNAL OF MATHEMATICS, 2021, 18 (01)
[28]   Exact boundary controllability for 1-D quasilinear wave equations with dynamical boundary conditions [J].
Wang, Yue ;
Leugering, Guenter ;
Li, Tatsien .
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2017, 40 (10) :3808-3820
[29]   STABILIZATION AND EXACT BOUNDARY CONTROLLABILITY FOR MAXWELL EQUATIONS [J].
KAPITONOV, BV .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1994, 32 (02) :408-420
[30]   EXACT BOUNDARY CONTROLLABILITY OF COUPLED HYPERBOLIC EQUATIONS [J].
Avdonin, Sergei ;
Rivero, Abdon Choque ;
de Teresa, Luz .
INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS AND COMPUTER SCIENCE, 2013, 23 (04) :701-709