Exact Boundary Observability for a Kind of Second-Order Quasilinear Hyperbolic Systems 被引量：2

Exact Boundary Observability for a Kind of Second-Order Quasilinear Hyperbolic Systems

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摘要 Based on the theory of semi-global classical solutions to quasilinear hyperbolic systems, the local exact boundary observability for a kind of second-order quasilinear hyperbolic systems is obtained by a constructive method.

作者 Ke WANG

机构地区 College of Science

出处《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2016年第6期803-820,共18页 数学年刊（B辑英文版）

基金 supported by the National Natural Science Foundation of China(No.11526050)

关键词 First-order quasilinear hyperbolic systems Second-order quasilinear hyperbolic systems Exact boundary observability Mixed initial-boundary value problem 一阶的 quasilinear 夸张系统；秒顺序 quasilinear 夸张系统；准确边界 observability；混合起始边界的价值问题；

分类号 O175.27 [理学—基础数学]

引文网络
相关文献

参考文献5

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二级参考文献15

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共引文献38

1王珂,石志娟.一维线性波动方程耦合组的精确边界同步能观性[J].数学年刊（A辑）,2020(2):139-152.
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同被引文献11

1于立新.二阶拟线性双曲型方程组的精确边界能控性(英文)[J].工程数学学报,2005,22(2):199-211. 被引量：4
2Zhiqiang WANG.Exact Controllability for Nonautonomous First Order Quasilinear Hyperbolic Systems[J].Chinese Annals of Mathematics,Series B,2006,27(6):643-656. 被引量：13
3尚培培,庄凯丽.二阶拟线性双曲型方程的精确能观性[J].工程数学学报,2009,26(4):618-636. 被引量：3
4庄凯丽,尚培培.二阶拟线性双曲型方程的精确边界能控性[J].工程数学学报,2009,26(6):1005-1020. 被引量：3
5Tatsien LI,Bopeng RAO.Strong (Weak) Exact Controllability and Strong (Weak) Exact Observability for Quasilinear Hyperbolic Systems[J].Chinese Annals of Mathematics,Series B,2010,31(5):723-742. 被引量：12
6Ke WANG.Exact Boundary Controllability for a Kind of Second-Order Quasilinear Hyperbolic Systems[J].Chinese Annals of Mathematics,Series B,2011,32(6):803-822. 被引量：6
7Tatsien LI,Bopeng RAO.Exact Synchronization for a Coupled System of Wave Equations with Dirichlet Boundary Controls[J].Chinese Annals of Mathematics,Series B,2013,34(1):139-160. 被引量：14
8Long HU,Fanqiong JI,Ke WANG.Exact Boundary Controllability and Exact Boundary Observability for a Coupled System of Quasilinear Wave Equations[J].Chinese Annals of Mathematics,Series B,2013,34(4):479-490. 被引量：4
9Tatsien LI,Xing LU,Bopeng RAO.Exact Boundary Synchronization for a Coupled System of Wave Equations with Neumann Boundary Controls[J].Chinese Annals of Mathematics,Series B,2018,39(2):233-252. 被引量：5
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引证文献2

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2王珂,潘盼盼.一个一维二阶拟线性双曲组的精确边界能控性[J].Chinese Quarterly Journal of Mathematics,2023,38(4):424-440.

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2Ke WANG.Exact Boundary Controllability for a Kind of Second-Order Quasilinear Hyperbolic Systems[J].Chinese Annals of Mathematics,Series B,2011,32(6):803-822. 被引量：6
3郑永树,刘法贵.A NECESSARY AND SUFFICIENT CONDITION FOR GLOBAL EXISTENCE OF CLASSICAL SOLUTIONS TO CAUCHY PROBLEM OF QUASILINEAR HYPERBOLIC SYSTEMS IN DIAGONAL FORM[J].Acta Mathematica Scientia,2000,20(4):571-576. 被引量：1
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Chinese Annals of Mathematics,Series B

2016年第6期

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