RIEMANN BOUNDARY VALUE PROBLEMS WITH GIVEN PRINCIPAL PART

Li Weifeng; Du Jinyuan

doi:10.1016/S0252-9602(09)60003-5

Acta mathematica scientia, Series B >

2009 , Vol. 29 >Issue 1: 25 - 31

DOI: https://doi.org/10.1016/S0252-9602(09)60003-5

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RIEMANN BOUNDARY VALUE PROBLEMS WITH GIVEN PRINCIPAL PART

Li Weifeng ,
Du Jinyuan

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Collage of Mathematics and Physics, China University of Geosciences, Wuhan 430074, China

Received date: 2006-08-23

Revised date: 2007-09-06

Online published: 2009-02-20

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Abstract

In this article, the authors discuss the Riemann boundary value problems with given principal part. First, authors consider a special case and give a classification of the solution class R_n by the way. And then, they consider the general case. The solvable conditions for this problem and its solutions is obtained when it is solvable.

Key words： Riemann boundary value problems; principal part; Riemann-Hilbert analysis for orthogonal polynomials

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Li Weifeng , Du Jinyuan . RIEMANN BOUNDARY VALUE PROBLEMS WITH GIVEN PRINCIPAL PART[J]. Acta mathematica scientia, Series B, 2009 , 29(1) : 25 -31 . DOI: 10.1016/S0252-9602(09)60003-5

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