Stabilization and regularity transmission of a Schrodinger equation through boundary connections with a Kelvin-Voigt damped beam equation
文献类型：期刊论文
| 作者 | Guo, Bao-Zhu1,2,3; Ren, Han-Jing1,3 |
| 刊名 | ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK
 |
| 出版日期 | 2019-11-28 |
| 页码 | 20 |
| 关键词 | Schrodinger equation beam equation Kelvin-Voigt damping Gevrey class |
| ISSN号 | 0044-2267 |
| DOI | 10.1002/zamm.201900013 |
| 英文摘要 | 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. |
| 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 |
| 语种 | 英语 |
| WOS记录号 | WOS:000499139500001 |
| 出版者 | WILEY-V C H VERLAG GMBH |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/50396]  |
| 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.North China Elect Power Univ, Sch Math & Phys, Beijing 102206, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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