On Friedrichs-Poincare-type inequalities

doi:10.1016/j.jmaa.2004.09.066

	On Friedrichs-Poincare-type inequalities
	Zheng, WY; Qi, H
	2005-04-15
发表期刊	JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN	0022-247X
卷号	304 期号:2 页码:542-551
摘要	Friedrichs- and Poincare-type inequalities are important and widely used in the area of partial differential equations and numerical analysis. Most of their proofs appearing in references are the argument of reduction to absurdity. In this paper, we give direct proofs of Friedrichs-type inequalities in H-1 (Omega) and Poincare-type inequalities in some subspaces of W-1,W-p (Omega). The dependencies of the inequality coefficients on the domain Omega and some sub-domains are illustrated explicitly. (c) 2004 Elsevier Inc. All rights reserved.
关键词	Friedrichs-type inequality Poincare-type inequality direct proof Sobolev space
DOI	10.1016/j.jmaa.2004.09.066
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000228022000009
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/2145
专题	计算数学与科学工程计算研究所
通讯作者	Zheng, WY
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, Beijing 100080, Peoples R China 2.Chinese Acad Sci, Bur Basic Res, Beijing 100864, Peoples R China
推荐引用方式 GB/T 7714	Zheng, WY,Qi, H. On Friedrichs-Poincare-type inequalities[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2005,304(2):542-551.
APA	Zheng, WY,&Qi, H.(2005).On Friedrichs-Poincare-type inequalities.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,304(2),542-551.
MLA	Zheng, WY,et al."On Friedrichs-Poincare-type inequalities".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 304.2(2005):542-551.