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LOCAL EXACT BOUNDARY CONTROLLABILITY FOR A CLASS OF QUASILINEAR HYPERBOLIC SYSTEMS
作者姓名:LI Ta-tsien  RAO Bopeng
作者单位:1. Department of Mathematics, Fudan University, Shanghai 200433, China.E-mail: dqli@fudan.edu.cn
2. Institut de Recherche Mathématique Avancée, Université Louis Pasteur de Strasbourg, 7 rue Réné-Descartes, 67084 Strasbourg, France.
基金项目:Project supported by the Special Funds forMajor State Basic Research Projects ofChina.
摘    要:InroductionLet us consider the following irst order quaslllnear hyperbolic

关 键 词:正合边界可控性  拟线性双曲型系统  非线性弦振动方程  初边值问题
收稿时间:9/1/2005 12:00:00 AM
修稿时间:1/2/2004 12:00:00 AM

LOCAL EXACT BOUNDARY CONTROLLABILITY FOR A CLASS OF QUASILINEAR HYPERBOLIC SYSTEMS
LI Ta-tsien,RAO Bopeng.LOCAL EXACT BOUNDARY CONTROLLABILITY FOR A CLASS OF QUASILINEAR HYPERBOLIC SYSTEMS[J].Chinese Annals of Mathematics,Series B,2002,23(2):209-218.
Authors:LI Ta-tsien and RAO Bopeng
Institution:[1]DepartmentofMathematics,FudanUniversity,Shanghai200433,China [2]InstitutdeRechercheMathematiqueAvancee,UniversiteLouisPasteurdeStrasbourg,7rueRene-Descartes,67084Strasbourg,France
Abstract: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.
Keywords:Exact boundary controllability  Quasilinear hyperbolic system  Nonlinear vibrating string equation  
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