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ESTIMATES OF THE GAPS BETWEEN CONSECUTIVE EIGENVALUES OF LAPLACIAN

文献类型：期刊论文

作者Chen, Daguang1; Zheng, Tao2; Yang, Hongcang3
刊名PACIFIC JOURNAL OF MATHEMATICS
出版日期2016-06-01
卷号282期号:2页码:293-311
关键词Laplacian consecutive eigenvalues test function Riemannian manifold hyperbolic space
ISSN号0030-8730
DOI10.2140/pjm.2016.282.293
英文摘要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.
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
语种英语
WOS记录号WOS:000377710200003
出版者PACIFIC JOURNAL MATHEMATICS
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/22859]  
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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