摘要
Riemann-Hilbert(R-H)问题原是1900年D.Hilbert(1862—1943)在巴黎国际数学家会议上提出的23个问题之21。它是要找两个函数f_±,f_+在复平面C的上半部C_+解析,在f_-在下半部C_-解析;在实轴上的边值线性相联于已知函数G①(满足H条件的):
In this paper, some new developments of Riemann-Hilbert Problem have been surveyed.lt carries on in the following five aspects.(1)the extension of Cauchy-Riemann equation,(2)the RH method applied to the study of soliton theory,(3)the generalized form of the RH-problem for operator-valued functions,(4)the development of index concept for RHP,(5)the RH method applied to the study of theoretical physics. Five open problems are also presented.
出处
《数学进展》
CSCD
北大核心
1990年第3期265-283,共19页
Advances in Mathematics（China）
