THE RIEMANN-HILBERT BOUNDARY VALUE PROBLEM FOR THE MOISIL-THEODORSCO SYSTEM  

作　　者：杨丕文 

机构地区：[1]Department of Mathematics,Sichuan Normal University,Chengdu 610066,China

出　　处：《数学物理学报（A辑）》2006年第B12期1057-1063,共7页Acta Mathematica Scientia

基　　金：Supported partially by the Key Project Foundation of the Education Department of Sichuan Province

摘　　要：This article studies the inhomogeneous Moisil-Theodorsco system in the space R3, gives the integral expression of its solution, proves the Holder continuity of the solution. Moreover the author studies the Riemann-Hilbert boundary value problem for the Moisil-Theodorsco system in a cylindrical domain of R3, and gives the solvability conditions and the integral expressions of solutions. The Holder continuity of the solutions is proved.This article studies the inhomogeneous Moisil-Theodorsco system in the space R^3, gives the integral expression of its solution, proves the HSlder continuity of the solution. Moreover the author studies the Riemann-Hilbert boundary value problem for the MoisilTheodorsco system in a cylindrical domain of R^3, and gives the solvability conditions and the integral expressions of solutions. The HSlder continuity of the solutions is proved.

关 键 词：黎曼-希尔伯特边界值问题 Moisil-Theodorsco系统 整式 算子 HOELDER连续 

分 类 号：O175.8[理学—数学]