| THE GAUSS–GREEN THEOREM IN CLIFFORD ANALYSIS AND ITS APPLICATIONS |
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| 作者姓名： | 罗纬宇 杜金元 |
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| 作者单位： | School of Mathematics and Statistics, Wuhan University |
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| 基金项目： | supported by NNSF of China(11171260);RFDP of Higher Education of China(20100141110054) |
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| 摘 要： | In this article, we establish the Gauss–Green type theorems for Clifford-valued functions in Clifford analysis. The boundary conditions in theorems obtained are very general by using the geometric measure theoretic method. The Cauchy–Pompeiu formula for Clifford-valued functions under the weak condition will be derived as their simple application. Furthermore, Cauchy formula for monogenic functions under the weak condition is derived directly from the Cauchy–Pompeiu formula.
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| 关 键 词： | Gauss–Green theorem Cauchy’s theorem Cauchy–Pompeiu formula Clifford analysis Geometric measure theory |
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