On the dual boundary conditions and the nonnegative square root of the second derivative operator

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	On the dual boundary conditions and the nonnegative square root of the second derivative operator
	Yao, PF
	2000-04-10
发表期刊	JOURNAL OF DIFFERENTIAL EQUATIONS
ISSN	0022-0396
卷号	162 期号:2 页码:270-299
摘要	A dual relationship between the boundary conditions of the second derivative operator Au = -u "(.) is established. Some dual properties determined by the dual boundary conditions are considered. Furthermore, the singularities of the nonnegative square root of the above second derivative operator are studied. Our results show that, although A(1/2)u is not u'(.), it is a harmonic conjugate of u'(.) in some sense. (C) 2000 Academic Press.
关键词	"string" operators structural damping singular integral
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000086573200002
出版者	ACADEMIC PRESS INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/15683
专题	中国科学院数学与系统科学研究院
通讯作者	Yao, PF
作者单位	Acad Sinica, Inst Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Yao, PF. On the dual boundary conditions and the nonnegative square root of the second derivative operator[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2000,162(2):270-299.
APA	Yao, PF.(2000).On the dual boundary conditions and the nonnegative square root of the second derivative operator.JOURNAL OF DIFFERENTIAL EQUATIONS,162(2),270-299.
MLA	Yao, PF."On the dual boundary conditions and the nonnegative square root of the second derivative operator".JOURNAL OF DIFFERENTIAL EQUATIONS 162.2(2000):270-299.