LOCAL EXACT BOUNDARY CONTROLLABILITY FOR A CLASS OF QUASILINEAR HYPERBOLIC SYSTEMS

For a class of mixed initial-boundary value problem for general quasilinear hyperbolic sys-tems, this paper establishes the local exact boundary controllability with boundary controls only acting on one end. As an application, the authors show the local exact boundary control-lability for a kind of...

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Bibliographic Details
Published inChinese annals of mathematics. Serie B Vol. 23; no. 2; pp. 209 - 218
Main Authors LI, TA-TSIEN, RAO, BOPENG
Format Journal Article
LanguageEnglish
Published Springer Verlag 01.04.2002
Subjects
Analysis of PDEs
Mathematics
初边值问题
拟线性双曲型系统
正合边界可控性
非线性弦振动方程
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Summary:For a class of mixed initial-boundary value problem for general quasilinear hyperbolic sys-tems, this paper establishes the local exact boundary controllability with boundary controls only acting on one end. As an application, the authors show the local exact boundary control-lability for a kind of nonlinear vibrating string problem.
Bibliography:O175
31-1329/O1
O175.27
ISSN:0252-9599
1860-6261
DOI:10.1142/S0252959902000201