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THE RIEMANN-HILBERT BOUNDARY VALUE PROBLEM FOR THE MOISIL-THEODORSCO SYSTEM 被引量:8

THE RIEMANN-HILBERT BOUNDARY VALUE PROBLEM FOR THE MOISIL-THEODORSCO SYSTEM
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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.
作者 杨丕文
出处 《数学物理学报(A辑)》 CSCD 北大核心 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
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 Moisil-Theodorsco System Operator T Hoelder continuous Riemann-Hilbert boundary value problem.
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  • 1Moisil G C, Theodoresco N. Fonections holomorphes dans l' espass. Mathematica, 1931, 5: 142-159 被引量:1
  • 2Stein E M, Weiss G. Generilization of the Cauchy-Riemann equation and representations of the rotation group. Amer J Math, 1968, 90: 163-196 被引量:1
  • 3Stern I. Boundary Value Problems for Generalized Cauchy-Riemann Systems in the Space. Boundary Value and Initial Value Problems in Complex Analysis: Studies in Complex Analysis and its Applications to Partial Differential Equations, 1 (Halle,1988), 159-183. Pitman Res Notes Math Ser 256. Harlow: Longman Sci Tech, 1991 被引量:1
  • 4Stern I. Direct methods for generalized Cauchy-Riemann systems in the space. Complex variables, 1993, 23: 73-100 被引量:1
  • 5Begehr H, Dzhuraev A. An Introduction to Several Complex Variables and Partial Differetial Equations. Harlow: Longman, 1997 被引量:1
  • 6Vekua I N. Generalized Analytic Functions. London: Pergamon Press, 1962 被引量:1
  • 7Yang P W. The Operators T in quaternionic analysis and two classes of boundary value problems. Acta Math Sinica, 2001, 44(2): 343-350 被引量:1
  • 8Yang P W. Holder continuity of TGf and Riemann-Hilbert boundary value problem in quaternion calculus. Acta Math Sinica, 2003, 46(5): 993-998 被引量:1
  • 9Wen G C. Conformal Mappings and Boundary Value Problems. In: Translated from the Chinese by Kuniko Weltin. Providence RI: Amer Math Soc, 1992 被引量:1

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