首页 | 本学科首页   官方微博 | 高级检索  
     检索      

THE DIFFERENTIAL INTEGRAL EQUATIONS ONSMOOTH CLOSED ORIENTABLE MANIFOLDS
作者姓名:钱涛  钟同德
基金项目:the Bilateral Science and Technology Collaboration Program of Australia 1998,the Natural Science Foundation of China (No. 1
摘    要:1 IntroductionSillce tl1e limit value fOrlnula, viz. tl1e Plemelj fOrn1ula, of the Cauthe type integraJ withBochner-Martinelli kernel was proved in 19571], it has beell successfully used to the study Ofsingular i1ltegral equatious, solvi11g the 0b--equation, holomorphic extension, 0--closed exten-sion and C-R 111al1ifolds2-51. Evideutly, the researcl1 of higher order singular integrals withBochuer-Martinelli kerllel itself also l1as important significallce. In 1952, J. Hadanmrd firstde…


THE DIFFERENTIAL INTEGRAL EQUATIONS ON SMOOTH CLOSED ORIENTABLE MANIFOLDS
Qian Tao Faculty of Science and Technology,The University of Macau P.O.Box ,Macau.THE DIFFERENTIAL INTEGRAL EQUATIONS ONSMOOTH CLOSED ORIENTABLE MANIFOLDS[J].Acta Mathematica Scientia,2001(1).
Authors:Qian Tao Faculty of Science and Technology  The University of Macau POBox  Macau
Institution:Via Hong Kong
Abstract: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.
Keywords:Bochner-Martinelli kernel  Plemelj formula  composite formula  higher order singular integral  differential integral Equation
本文献已被 CNKI 等数据库收录!
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号