KMS Of Academy of mathematics and systems sciences, CAS
ESTIMATES OF THE GAPS BETWEEN CONSECUTIVE EIGENVALUES OF LAPLACIAN | |
Chen, Daguang1; Zheng, Tao2; Yang, Hongcang3 | |
2016-06-01 | |
发表期刊 | PACIFIC JOURNAL OF MATHEMATICS |
ISSN | 0030-8730 |
卷号 | 282期号:2页码:293-311 |
摘要 | For the eigenvalue problem of the Dirichlet Laplacian on a bounded domain in Euclidean space R-n, we obtain estimates for the upper bounds of the gaps between consecutive eigenvalues which are the best possible in terms of the orders of the eigenvalues. Therefore, it is reasonable to conjecture that this type of estimate also holds for the eigenvalue problem on a Riemannian manifold. We give some particular examples. |
关键词 | Laplacian consecutive eigenvalues test function Riemannian manifold hyperbolic space |
DOI | 10.2140/pjm.2016.282.293 |
语种 | 英语 |
资助项目 | NSFC[11271213] ; NSFC[11471180] ; NSFC[11401023] ; Beijing Institute of Technology[20131742009] ; Beijing Institute of Technology[20141742002] ; SF of CAS ; [2014M550620] ; [2015T80040] |
WOS研究方向 | Mathematics |
WOS类目 | Mathematics |
WOS记录号 | WOS:000377710200003 |
出版者 | PACIFIC JOURNAL MATHEMATICS |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/22860 |
专题 | 中国科学院数学与系统科学研究院 |
通讯作者 | Chen, Daguang |
作者单位 | 1.Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China 2.Beijing Inst Technol, Sch Math & Stat, Beijing 100081, Peoples R China 3.Chinese Acad Sci, Hua Loo Keng Key Lab Math, Beijing 100080, Peoples R China |
推荐引用方式 GB/T 7714 | Chen, Daguang,Zheng, Tao,Yang, Hongcang. ESTIMATES OF THE GAPS BETWEEN CONSECUTIVE EIGENVALUES OF LAPLACIAN[J]. PACIFIC JOURNAL OF MATHEMATICS,2016,282(2):293-311. |
APA | Chen, Daguang,Zheng, Tao,&Yang, Hongcang.(2016).ESTIMATES OF THE GAPS BETWEEN CONSECUTIVE EIGENVALUES OF LAPLACIAN.PACIFIC JOURNAL OF MATHEMATICS,282(2),293-311. |
MLA | Chen, Daguang,et al."ESTIMATES OF THE GAPS BETWEEN CONSECUTIVE EIGENVALUES OF LAPLACIAN".PACIFIC JOURNAL OF MATHEMATICS 282.2(2016):293-311. |
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