Expansion of solution in terms of generalized eigenfunctions for a hyperbolic system with static boundary condition

doi:10.1016/j.jfa.2005.02.006

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	Expansion of solution in terms of generalized eigenfunctions for a hyperbolic system with static boundary condition
	Guo, BZ; Xu, GQ
	2006-02-15
发表期刊	JOURNAL OF FUNCTIONAL ANALYSIS
ISSN	0022-1236
卷号	231 期号:2 页码:245-268
摘要	This paper studies a linear hyperbolic system with static boundary condition that was first studied in Neves et al. [J. Funct. Anal. 67(1986) 320-344]. It is shown that the spectrum of the system consists of zeros of a sine-type function and the generalized eigenfunctions of the system constitute a Riesz basis with parentheses for the root subspace. The state space thereby decomposes into topological direct sum of root subspace and another invariant subspace in which the associated semigroup is superstable: that is to say, the semigroup is identical to zero after a finite time period. (c) 2005 Elsevier Inc. All rights reserved.
关键词	hyperbolic system Sine-type function C-0-semigroup Riesz basis spectral analysis
DOI	10.1016/j.jfa.2005.02.006
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000234686200001
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/3318
专题	系统科学研究所
通讯作者	Guo, BZ
作者单位	1.Acad Sinica, Acad Math & Syst Sci, Inst Syst Sci, Beijing 10080, Peoples R China 2.Univ Witwatersrand, Sch Computat & Appl Math, ZA-2050 Johannesburg, South Africa 3.Tianjin Univ, Dept Math, Tianjin 300072, Peoples R China
推荐引用方式 GB/T 7714	Guo, BZ,Xu, GQ. Expansion of solution in terms of generalized eigenfunctions for a hyperbolic system with static boundary condition[J]. JOURNAL OF FUNCTIONAL ANALYSIS,2006,231(2):245-268.
APA	Guo, BZ,&Xu, GQ.(2006).Expansion of solution in terms of generalized eigenfunctions for a hyperbolic system with static boundary condition.JOURNAL OF FUNCTIONAL ANALYSIS,231(2),245-268.
MLA	Guo, BZ,et al."Expansion of solution in terms of generalized eigenfunctions for a hyperbolic system with static boundary condition".JOURNAL OF FUNCTIONAL ANALYSIS 231.2(2006):245-268.