Multi-bump bound states of Schrodinger equations with a critical frequency
文献类型：期刊论文
| 作者 | Cao, Daomin ; Peng, Shuangjie
|
| 刊名 | MATHEMATISCHE ANNALEN
 |
| 出版日期 | 2006-12-01 |
| 卷号 | 336期号:4页码:925-948 |
| 关键词 | multi-bump standing waves variational method nonlinear Schrodinger equation bound states |
| ISSN号 | 0025-5831 |
| DOI | 10.1007/s00208-006-0021-y |
| 英文摘要 | We consider existence and qualitative properties of standing wave solutions psi(x,t) = e-(iEt/h)u( x) to the nonlinear Schr"dinger equation ih(partial derivative psi)/(partial derivative t) = -h(2)/2m Delta psi + W(x)psi - vertical bar psi vertical bar(p-1)psi =0 with E being a critical frequency in the sense that inf(x is an element of R)(N) W(x) = E. We verify that if the zero set of W - E has several isolated points x(i) (i = 1,..., m) near which W-E is almost exponentially flat with approximately the same behavior, then for h > 0 small enough, there exists, for any integer k, 1 <= k <= m, a standing wave solution which concentrates simultaneously on {x(j)vertical bar j = 1,..., k}, where {x(j)vertical bar j = 1,..., k} is any given subset of {x(j)vertical bar j = 1,..., k}. This generalizes the result of Byeon and Wang in 3. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000241379900006 |
| 出版者 | SPRINGER |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/3731]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Cao, Daomin |
| 作者单位 | 1.Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China 2.Chinese Acad Sci, Inst Appl Math, AMSS, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Cao, Daomin,Peng, Shuangjie. Multi-bump bound states of Schrodinger equations with a critical frequency[J]. MATHEMATISCHE ANNALEN,2006,336(4):925-948. |
| APA | Cao, Daomin,&Peng, Shuangjie.(2006).Multi-bump bound states of Schrodinger equations with a critical frequency.MATHEMATISCHE ANNALEN,336(4),925-948. |
| MLA | Cao, Daomin,et al."Multi-bump bound states of Schrodinger equations with a critical frequency".MATHEMATISCHE ANNALEN 336.4(2006):925-948. |
入库方式： OAI收割
来源：数学与系统科学研究院
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