Stabilization and regularity transmission of a Schrodinger equation through boundary connections with a Kelvin-Voigt damped beam equation

doi:10.1002/zamm.201900013

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	Stabilization and regularity transmission of a Schrodinger equation through boundary connections with a Kelvin-Voigt damped beam equation
	Guo, Bao-Zhu 1,2,3; Ren, Han-Jing 1,2
	2019-11-28
发表期刊	ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK
ISSN	0044-2267
页码	20
摘要	In this paper, we study stability for a Schrodinger equation interacted by an Euler-Bernoulli beam equation with Kelvin-Voigt damping through weak boundary connections. It is shown that the whole coupled system is well-posed. With a careful spectral analysis, it is shown that the system operator of the closed-loop system is not of compact resolvent and the spectrum consists of three branches. By means of asymptotic analysis, the asymptotic expressions of eigenfunctions are obtained. The Riesz basis property and exponential stability of the system are concluded by comparison method in Riesz basis approach. Finally, we show that the associated C-0-semigroup is of Gevery class delta>4 which is a remarkable difference with the related literature.
关键词	Schrodinger equation beam equation Kelvin-Voigt damping Gevrey class
DOI	10.1002/zamm.201900013
收录类别	SCI
语种	英语
资助项目	National Natural Science Foundation of China[61873260] ; Project of Department of Education of Guangdong Province[2017KZDXM087]
WOS研究方向	Mathematics ; Mechanics
WOS类目	Mathematics, Applied ; Mechanics
WOS记录号	WOS:000499139500001
出版者	WILEY-V C H VERLAG GMBH
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/50397
专题	中国科学院数学与系统科学研究院
通讯作者	Guo, Bao-Zhu
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 3.North China Elect Power Univ, Sch Math & Phys, Beijing 102206, Peoples R China
推荐引用方式 GB/T 7714	Guo, Bao-Zhu,Ren, Han-Jing. Stabilization and regularity transmission of a Schrodinger equation through boundary connections with a Kelvin-Voigt damped beam equation[J]. ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK,2019:20.
APA	Guo, Bao-Zhu,&Ren, Han-Jing.(2019).Stabilization and regularity transmission of a Schrodinger equation through boundary connections with a Kelvin-Voigt damped beam equation.ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK,20.
MLA	Guo, Bao-Zhu,et al."Stabilization and regularity transmission of a Schrodinger equation through boundary connections with a Kelvin-Voigt damped beam equation".ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK (2019):20.