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ON THE BOUNDARY STABILIZATION OF WAVE EQUATION WITH VARIABLE COEFFICIENT
引用本文:ZHANG Weitao, FENG Dexing(Institute of Systems Science,Academia Sinica,Beijing 100080,China). ON THE BOUNDARY STABILIZATION OF WAVE EQUATION WITH VARIABLE COEFFICIENT[J]. 系统科学与复杂性, 1997, 0(3)
作者姓名:ZHANG Weitao   FENG Dexing(Institute of Systems Science  Academia Sinica  Beijing 100080  China)
作者单位:Institute of Systems Science,Academia Sinica,Beijing 100080,China
摘    要:1.IntroductionLetfibeaboundedopendomaininR"(n22)withsmoothboundaryr,u~u(s)betheoutwordnormalofrats.GivenavectorxoER",denotem(x)gx--xo(x6R"),Rgsup{lm(x)fjxCfi}.SetLndsupposer nrAI~0.Weconsiderthefollowingwaveequationonfiwithboundaryfeedback:whereK=(m'u)k,L…


ON THE BOUNDARY STABILIZATION OF WAVE EQUATION WITH VARIABLE COEFFICIENT
ZHANG Weitao, FENG Dexing. ON THE BOUNDARY STABILIZATION OF WAVE EQUATION WITH VARIABLE COEFFICIENT[J]. Journal of Systems Science and Complexity, 1997, 0(3)
Authors:ZHANG Weitao   FENG Dexing
Abstract:This paper is concerned with the stabilization problem of wave equation withvariable coefficient under boundary feedback control. It is shown that the energy of thesystem decays exponentially if the feedback parameters are chosen in some domain.
Keywords:Wave equation   boundary feedback   exponential decay
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