KMS Of Academy of mathematics and systems sciences, CAS
The rotation number of the linear Schrodinger equation with discontinuous almost periodic potentials | |
Zhou, Zhe1,2 | |
2015-10-15 | |
发表期刊 | JOURNAL OF DIFFERENTIAL EQUATIONS |
ISSN | 0022-0396 |
卷号 | 259期号:8页码:4202-4228 |
摘要 | In this paper we study a linear Schrodinger equation with a Stepanov almost periodic potential, where the potential is discontinuous from R to R. We first show the existence of rotation numbers for the equation. We then give the optimal estimate of rotation numbers. (C) 2015 Elsevier Inc. All rights reserved. |
关键词 | Stepanov almost periodic function Rotation number Discrete hull Ergodic theorem Stepanov norm |
DOI | 10.1016/j.jde.2015.05.015 |
语种 | 英语 |
资助项目 | China Postdoctoral Science Foundation[2012T50146] ; Key Lab of Random Complex Structures and Data Science[2008DP173182] ; Chinese Academy of Sciences[2008DP173182] ; National Natural Science Foundation of China[11301512] |
WOS研究方向 | Mathematics |
WOS类目 | Mathematics |
WOS记录号 | WOS:000363434300023 |
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/21050 |
专题 | 应用数学研究所 |
通讯作者 | Zhou, Zhe |
作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100190, Peoples R China 2.Brigham Young Univ, Dept Math, Provo, UT 84602 USA |
推荐引用方式 GB/T 7714 | Zhou, Zhe. The rotation number of the linear Schrodinger equation with discontinuous almost periodic potentials[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2015,259(8):4202-4228. |
APA | Zhou, Zhe.(2015).The rotation number of the linear Schrodinger equation with discontinuous almost periodic potentials.JOURNAL OF DIFFERENTIAL EQUATIONS,259(8),4202-4228. |
MLA | Zhou, Zhe."The rotation number of the linear Schrodinger equation with discontinuous almost periodic potentials".JOURNAL OF DIFFERENTIAL EQUATIONS 259.8(2015):4202-4228. |
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