On the dual boundary conditions and the nonnegative square root of the second derivative operator
文献类型:期刊论文
作者 | Yao, PF |
刊名 | JOURNAL OF DIFFERENTIAL EQUATIONS
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出版日期 | 2000-04-10 |
卷号 | 162期号:2页码:270-299 |
关键词 | "string" operators structural damping singular integral |
ISSN号 | 0022-0396 |
英文摘要 | 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. |
语种 | 英语 |
WOS记录号 | WOS:000086573200002 |
出版者 | ACADEMIC PRESS INC |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/15682] ![]() |
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. |
入库方式: OAI收割
来源:数学与系统科学研究院
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