Exact boundary controllability and exact boundary observability for a coupled system of quasilinear wave equations

被引：13

作者：

Hu, Long ^{[1
]}

Ji, Fanqiong ^{[1
]}

Wang, Ke ^{[1
]}

机构：

[1] Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China

来源：

CHINESE ANNALS OF MATHEMATICS SERIES B | 2013年 / 34卷 / 04期

关键词：

Coupled system of quasilinear wave equations; Exact boundary controllability; Exact boundary observability; HYPERBOLIC SYSTEMS; KIND;

D O I：

10.1007/s11401-013-0785-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Based on the theory of semi-global classical solutions to quasilinear hyperbolic systems, the authors apply a unified constructive method to establish the local exact boundary (null) controllability and the local boundary (weak) observability for a coupled system of 1-D quasilinear wave equations with various types of boundary conditions.

引用

页码：479 / 490

页数：12

共 50 条

[1] Exact boundary controllability and exact boundary observability for a coupled system of quasilinear wave equations
Long Hu
Fanqiong Ji
Ke Wang
Chinese Annals of Mathematics, Series B, 2013, 34 : 479 - 490
[2] Exact Boundary Controllability and Exact Boundary Observability for a Coupled System of Quasilinear Wave Equations
Long HU
Fanqiong JI
Ke WANG
Chinese Annals of Mathematics(Series B), 2013, 34 (04) : 479 - 490
[3] 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
[4] Exact boundary controllability for quasilinear wave equations
Li, T
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2006, 190 (1-2) : 127 - 135
[5] Exact boundary controllability for quasilinear wave equations
Tatsien, L
Trends in Partial Differential Equations of Mathematical Physics, 2005, 61 : 149 - 160
[6] Exact boundary observability for nonautonomous quasilinear wave equations
Guo, Lina
Wang, Zhiqiang
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2010, 364 (01) : 41 - 50
[7] Exact boundary controllability and exact boundary synchronization for a coupled system of wave equations with coupled Robin boundary controls
Li, Tatsien
Lu, Xing
Rao, Bopeng
ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, 2021, 27 (27)
[8] Exact boundary controllability for a coupled system of wave equations with Neumann boundary controls
Tatsien Li
Bopeng Rao
Chinese Annals of Mathematics, Series B, 2017, 38 : 473 - 488
[9] Exact Boundary Controllability for a Coupled System of Wave Equations with Neumann Boundary Controls
Li, Tatsien
Rao, Bopeng
CHINESE ANNALS OF MATHEMATICS SERIES B, 2017, 38 (02) : 473 - 488
[10] On exact boundary controllability for linearly coupled wave equations
Bastos, W. D.
Spezamiglio, A.
Raposo, C. A.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 381 (02) : 557 - 564

← 1 2 3 4 5 →