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ON BOUNDARY VALUE PROBLEMS FOROVERDETERMINED ELLIPTIC SYSTEMS OF TWO COMPLEX VARIABLES 被引量:2

ON BOUNDARY VALUE PROBLEMS FOROVERDETERMINED ELLIPTIC SYSTEMS OF TWO COMPLEX VARIABLES
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摘要 In this paper,based on previous results,the Riemann-Hilbert boundary valueproblems with general forms for overdetermined elliptic equations of first order are consi-dered.The characteristic of modified function space is given.It is proved that there existsa unique solution for modified problem of the problem which we discuss.By the way,itis pointed out that there are great differences between overdetermined elliptic systems andfirst order elliptei systems in the plane. In this paper,based on previous results,the Riemann-Hilbert boundary value problems with general forms for overdetermined elliptic equations of first order are consi- dered.The characteristic of modified function space is given.It is proved that there exists a unique solution for modified problem of the problem which we discuss.By the way,it is pointed out that there are great differences between overdetermined elliptic systems and first order elliptei systems in the plane.
作者 李明忠 程晋
出处 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 1990年第1期84-92,共9页 数学年刊(B辑英文版)
基金 Supported by NSF and supported in part by Science and Technology Development Foundation of Shanghai.
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