Solutions for Discrete Periodic Schrodinger Equations with Spectrum 0
文献类型：期刊论文
| 作者 | Yang, Minbo1,2; Chen, Wenxiong1; Ding, Yanheng1 |
| 刊名 | ACTA APPLICANDAE MATHEMATICAE
 |
| 出版日期 | 2010-06-01 |
| 卷号 | 110期号:3页码:1475-1488 |
| 关键词 | Discrete Schrodinger equation Standing waves Nonlinear lattices |
| ISSN号 | 0167-8019 |
| DOI | 10.1007/s10440-009-9521-6 |
| 英文摘要 | In this paper we study the discrete nonlinear equation -Delta u(n) + epsilon(n)u(n) - omega u(n) = sigma chi(n)g(n)(u(n))u(n), where sigma = +/-1, Delta u(n) = u(n+1) + u(n-1) - 2u(n) is the discrete Laplacian in one spatial dimension. The sequences epsilon(n) and chi(n) are assumed to be N-periodic in n, i.e. epsilon(n+N) = epsilon(n) and chi(n+N) = chi(n). We prove the existence of solutions in l(2) for this equation with. a lower edge of a finite spectral gap and the nonlinearities satisfying very general superlinear assumptions. |
| 资助项目 | Natural Science Foundation of Zhejiang Province[Y7080008] ; National Natural Science Foundation[NSFC10831005] ; National Natural Science Foundation[NSFC10640420049] ; 973 Program[2007CB814800] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000276865800028 |
| 出版者 | SPRINGER |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/10731]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Yang, Minbo |
| 作者单位 | 1.Chinese Acad Sci, AMSS, Inst Math, Beijing 100190, Peoples R China 2.Zhejiang Normal Univ, Dept Math, Jinhua 321004, Peoples R China |
| 推荐引用方式 GB/T 7714 | Yang, Minbo,Chen, Wenxiong,Ding, Yanheng. Solutions for Discrete Periodic Schrodinger Equations with Spectrum 0[J]. ACTA APPLICANDAE MATHEMATICAE,2010,110(3):1475-1488. |
| APA | Yang, Minbo,Chen, Wenxiong,&Ding, Yanheng.(2010).Solutions for Discrete Periodic Schrodinger Equations with Spectrum 0.ACTA APPLICANDAE MATHEMATICAE,110(3),1475-1488. |
| MLA | Yang, Minbo,et al."Solutions for Discrete Periodic Schrodinger Equations with Spectrum 0".ACTA APPLICANDAE MATHEMATICAE 110.3(2010):1475-1488. |
入库方式： OAI收割
来源：数学与系统科学研究院
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