Expansion of solution in terms of generalized eigenfunctions for a hyperbolic system with static boundary condition
文献类型：期刊论文
| 作者 | Guo, BZ ; Xu, GQ
|
| 刊名 | JOURNAL OF FUNCTIONAL ANALYSIS
 |
| 出版日期 | 2006-02-15 |
| 卷号 | 231期号:2页码:245-268 |
| 关键词 | hyperbolic system Sine-type function C-0-semigroup Riesz basis spectral analysis |
| ISSN号 | 0022-1236 |
| DOI | 10.1016/j.jfa.2005.02.006 |
| 英文摘要 | 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. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000234686200001 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/3317]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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