The Cauchy Boundary Value Problems on Closed Piecewise Smooth Manifolds in C-n

doi:10.1007/s10114-004-0387-2

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	The Cauchy Boundary Value Problems on Closed Piecewise Smooth Manifolds in C-n
	Lin, Liang Yu 1; Qiu, Chun Hui 1,2
	2004-11-01
发表期刊	ACTA MATHEMATICA SINICA-ENGLISH SERIES
ISSN	1439-8516
卷号	20 期号:6 页码:989-998
摘要	Suppose that D is a bounded domain with a piecewise C-1 smooth boundary in C-n. Let phi is an element of C1+alpha (alpha D). By using the Hadamard principal value of the higher order singular integral and solid angle coefficient method of points on the boundary, we give the Plemelj formula of the higher order singular integral with the Bochner-Martinelli kernel, which has integral density phi. Moreover, by means of the Plemelj formula and methods of complex partial differential equations, we discuss the corresponding Cauchy boundary value problem with the Bochner-Martinelli kernel on a closed piecewise smooth manifold and obtain its unique branch complex harmonic solution.
关键词	Bochner-Martinelli kernel Hadamard principal value Plemelj formula Boundary value problem
DOI	10.1007/s10114-004-0387-2
语种	英语
资助项目	National Natural Science Foundation of China ; China Postdoctoral Science Foundation[0271097] ; China Postdoctoral Science Foundation[20040350105]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000208512300005
出版者	SPRINGER HEIDELBERG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/19499
专题	中国科学院数学与系统科学研究院
通讯作者	Lin, Liang Yu
作者单位	1.Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Lin, Liang Yu,Qiu, Chun Hui. The Cauchy Boundary Value Problems on Closed Piecewise Smooth Manifolds in C-n[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES,2004,20(6):989-998.
APA	Lin, Liang Yu,&Qiu, Chun Hui.(2004).The Cauchy Boundary Value Problems on Closed Piecewise Smooth Manifolds in C-n.ACTA MATHEMATICA SINICA-ENGLISH SERIES,20(6),989-998.
MLA	Lin, Liang Yu,et al."The Cauchy Boundary Value Problems on Closed Piecewise Smooth Manifolds in C-n".ACTA MATHEMATICA SINICA-ENGLISH SERIES 20.6(2004):989-998.