摘要
证明了M oisil-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H lder连续性,获得了它的P lem e lj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M oisil-Theodorsco方程组的一类R iem ann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.
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.
出处
《四川师范大学学报（自然科学版）》
CAS
CSCD
北大核心
2006年第2期188-191,共4页
Journal of Sichuan Normal University（Natural Science）
基金
四川省教育厅重点学科建设基金资助项目
