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Stabilization and regularity transmission of a Schrodinger equation through boundary connections with a Kelvin-Voigt damped beam equation
Guo, Bao-Zhu1,2,3; Ren, Han-Jing1,2
2019-11-28
Source PublicationZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK
ISSN0044-2267
Pages20
AbstractIn 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.
KeywordSchrodinger equation beam equation Kelvin-Voigt damping Gevrey class
DOI10.1002/zamm.201900013
Indexed BySCI
Language英语
Funding ProjectNational Natural Science Foundation of China[61873260] ; Project of Department of Education of Guangdong Province[2017KZDXM087]
WOS Research AreaMathematics ; Mechanics
WOS SubjectMathematics, Applied ; Mechanics
WOS IDWOS:000499139500001
PublisherWILEY-V C H VERLAG GMBH
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/50397
Collection中国科学院数学与系统科学研究院
Corresponding AuthorGuo, Bao-Zhu
Affiliation1.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
Recommended Citation
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.
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