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THE DIFFERENTIAL INTEGRAL EQUATIONS ON SMOOTH CLOSED ORIENTABLE MANIFOLDS |
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| Authors: | Qian Tao Faculty of Science Technology The University of Macau P.O.Box Macau |
| Affiliation: | 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 |
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