| Moisil-Theodorsco方程组的Riemann边值问题 |
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| 引用本文： | 姚益民. Moisil-Theodorsco方程组的Riemann边值问题[J]. 四川师范大学学报(自然科学版), 2006, 29(2): 188-191 |
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| 作者姓名： | 姚益民 |
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| 作者单位： | 康定民族师范高等专科学校,数学系,四川,康定,626001 |
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| 摘 要： | 证明了Moisil-Theodoresco方程组在R3空间中对应的Cauchy定理,研究了相应的Cauchy型积分及其Holder连续性,获得了它的Plemelj公式.同时,给出了R3空间中的刘维尔定理,进而讨论了齐次和非齐次Moisil-Theodorsco方程组的一类Riemann边值问题.证明了它的解的存在性定理,并且给出了解的积分表达式.
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| 关 键 词： | Moisil-Theodorsco方程组 Cauchy型积分 Riemann边值问题 |
| 文章编号： | 1001-8395（2006）02-0188-04 |
| 收稿时间： | 2005-01-13 |
| 修稿时间： | 2005-01-13 |
The Riemann Boundary Value Problem for the Moisil-Theodorsco System |
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| YAO Yi-min. The Riemann Boundary Value Problem for the Moisil-Theodorsco System[J]. Journal of Sichuan Normal University(Natural Science), 2006, 29(2): 188-191 |
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| Authors: | YAO Yi-min |
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| Abstract: | In this paper, Cauehy theorem for Moisil-Theodorseo system in the R3 is proved. The Cauehy type integral and Holder continuity are studied. Moreover its Plemelj formula and the Liouville theorem in the R3 are obtained. A class of Riemann boundary value problem for homogeneous and non-homogeneous Moisil-Theodorseo system is discussed. The existence theorem of its solutions is proved and the integral expression of solutions is given. |
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| Keywords: | Moisil-Theodorsco system Cauehy type integral Riemann boundary value problem |
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