THE DIFFERENTIAL INTEGRAL EQUATIONS ON SMOTH CLOSED ORIENTABLE MANIFOLDS

数学物理学报(英文版) ›› 2001, Vol. 21 ›› Issue (1): 1-8.

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THE DIFFERENTIAL INTEGRAL EQUATIONS ON SMOTH CLOSED ORIENTABLE MANIFOLDS

钱涛, 钟同德

Faculty of Science and Technology, The University of Macau P.O.Box 3001, Macau(Via Hong Kong) Institute of Mathematics, Xiamen University, Xiamen 361005, China

出版日期:2001-01-06 发布日期:2001-01-06
基金资助:
1Project supported by the Bilateral Science and Technology Collaboration Program of Australia 1998 and the Natural Science Foundation of China (No. 19771068)

THE DIFFERENTIAL INTEGRAL EQUATIONS ON SMOTH CLOSED ORIENTABLE MANIFOLDS

QIAN Tao, ZHONG Tong-De

Faculty of Science and Technology, The University of Macau P.O.Box 3001, Macau(Via Hong Kong) Institute of Mathematics, Xiamen University, Xiamen 361005, China

Online:2001-01-06 Published:2001-01-06
Supported by:
1Project supported by the Bilateral Science and Technology Collaboration Program of Australia 1998 and the Natural Science Foundation of China (No. 19771068)

摘要/Abstract

摘要：

Using integration by parts and Stokes’ formula the authors give a new defini-tion of Hadamard principal value of higher order singular integrals with Bochner-Martinelli kernel on smooth closed orientable manifolds in Cn. The Plemelj formula and composite formula of higher order singular integral are obtained. Differential integral equations on smooth closed orientable manifolds are treated by using the composite formula.

关键词: Bochner-Martinelli kernel, Plemelj formula, Composite formula, Higher or-der singular integral, Differential integral Equation

Abstract:

Key words: Bochner-Martinelli kernel, Plemelj formula, Composite formula, Higher or-der singular integral, Differential integral Equation

中图分类号:

32A25

钱涛, 钟同德. THE DIFFERENTIAL INTEGRAL EQUATIONS ON SMOTH CLOSED ORIENTABLE MANIFOLDS[J]. 数学物理学报(英文版), 2001, 21(1): 1-8.

QIAN Tao, ZHONG Tong-De. THE DIFFERENTIAL INTEGRAL EQUATIONS ON SMOTH CLOSED ORIENTABLE MANIFOLDS[J]. Acta mathematica scientia,Series B, 2001, 21(1): 1-8.

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[2]	邱春晖, 姚宗元. WEIGHTED KOPPELMAN-LERAY-NORGUET FRMULAS ON A LOCAL q-CONCAVE WEDGE IN A COMPLEX MANIFOLD[J]. 数学物理学报(英文版), 2003, 23(4): 531-.
[3]	邱春晖. A NEW FORMULA WITHOUT BOUNDARY INTEGRALS ON A STEIN MANIFOLD[J]. 数学物理学报(英文版), 2003, 23(1): 33-40.

THE DIFFERENTIAL INTEGRAL EQUATIONS ON SMOTH CLOSED ORIENTABLE MANIFOLDS

THE DIFFERENTIAL INTEGRAL EQUATIONS ON SMOTH CLOSED ORIENTABLE MANIFOLDS

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