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On the dual boundary conditions and the nonnegative square root of the second derivative operator
Yao, PF
2000-04-10
Source PublicationJOURNAL OF DIFFERENTIAL EQUATIONS
ISSN0022-0396
Volume162Issue:2Pages:270-299
AbstractA 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.
Keyword"string" operators structural damping singular integral
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000086573200002
PublisherACADEMIC PRESS INC
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/15683
Collection中国科学院数学与系统科学研究院
AffiliationAcad Sinica, Inst Syst Sci, Beijing 100080, Peoples R China
Recommended Citation
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.
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