RIEMANN BOUNDARY VALUE PROBLEMS FOR SOME K-REGULAR FUNCTIONS IN CLIFFORD ANALYSIS

doi:10.1016/S0252-9602(12)60158-1

数学物理学报(英文版) ›› 2012, Vol. 32 ›› Issue (5): 2029-2049.doi: 10.1016/S0252-9602(12)60158-1

RIEMANN BOUNDARY VALUE PROBLEMS FOR SOME K-REGULAR FUNCTIONS IN CLIFFORD ANALYSIS

姜乐|杜金元

School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China

收稿日期:2010-03-10 修回日期:2012-01-05 出版日期:2012-09-20 发布日期:2012-09-20
基金资助:
Supported by NSF of China (11171260) and RFDP of Higher Eduction of China (20100141110054).

RIEMANN BOUNDARY VALUE PROBLEMS FOR SOME K-REGULAR FUNCTIONS IN CLIFFORD ANALYSIS

JIANG Le, DU Jin-Yuan

School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China

Received:2010-03-10 Revised:2012-01-05 Online:2012-09-20 Published:2012-09-20
Supported by:
Supported by NSF of China (11171260) and RFDP of Higher Eduction of China (20100141110054).

摘要/Abstract

摘要：

In this paper, we study the R_m(m > 0) Riemann boundary value prob-lems for regular functions, harmonic functions and bi-harmonic functions with values in a universal clifford algebra C(V_n, n). By using Plemelj formula, we get the solutions of R_m (m > 0) Riemann boundary value problems for regular functions. Then transforming the Riemann boundary value problems for harmonic functions and bi-harmonic functions into the Riemann boundary value problems for regular functions, we obtain the solutions of R_m (m > 0) Riemann boundary value problems for harmonic functions and bi-harmonic functions.

关键词: Riemann boundary value problem, harmonic function, bi-harmonic function, Plemelj formula

Abstract:

Key words: Riemann boundary value problem, harmonic function, bi-harmonic function, Plemelj formula

中图分类号:

30G35

姜乐, 杜金元. RIEMANN BOUNDARY VALUE PROBLEMS FOR SOME K-REGULAR FUNCTIONS IN CLIFFORD ANALYSIS[J]. 数学物理学报(英文版), 2012, 32(5): 2029-2049.

JIANG Le, DU Jin-Yuan. RIEMANN BOUNDARY VALUE PROBLEMS FOR SOME K-REGULAR FUNCTIONS IN CLIFFORD ANALYSIS[J]. Acta mathematica scientia,Series B, 2012, 32(5): 2029-2049.

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RIEMANN BOUNDARY VALUE PROBLEMS FOR SOME K-REGULAR FUNCTIONS IN CLIFFORD ANALYSIS

RIEMANN BOUNDARY VALUE PROBLEMS FOR SOME K-REGULAR FUNCTIONS IN CLIFFORD ANALYSIS

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