中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
Bounds for ratios of the membrane eigenvalues

文献类型:期刊论文

作者Chen, Daguang1; Zheng, Tao2
刊名JOURNAL OF DIFFERENTIAL EQUATIONS
出版日期2011-02-01
卷号250期号:3页码:1575-1590
关键词Laplace operator Eigenvalue Test function
ISSN号0022-0396
DOI10.1016/j.jde.2010.10.009
英文摘要For a bounded planar region in R(2), we obtain the ratios of lower order eigenvalues of Laplace operator. Combining our results with the recursive formula in Cheng and Yang (2007) [11], we can obtain better upper bound of the (k + 1)-th (k >= 3) membrane eigenvalues. (C) 2010 Elsevier Inc. All rights reserved.
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000285214000016
出版者ACADEMIC PRESS INC ELSEVIER SCIENCE
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/11627]  
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.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. Bounds for ratios of the membrane eigenvalues[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2011,250(3):1575-1590.
APA Chen, Daguang,&Zheng, Tao.(2011).Bounds for ratios of the membrane eigenvalues.JOURNAL OF DIFFERENTIAL EQUATIONS,250(3),1575-1590.
MLA Chen, Daguang,et al."Bounds for ratios of the membrane eigenvalues".JOURNAL OF DIFFERENTIAL EQUATIONS 250.3(2011):1575-1590.

入库方式: OAI收割

来源:数学与系统科学研究院

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