Cauchy-Riemann方程的Riemann-Hilbert边值问题(英文)

Riemann-Hilbert Boundary Value Problem for the Cauchy-Riemann Equation

英文关键词:Riemann-Hilbert boundary value problem  Cauchy-Riemann equation  holomorphic function.

中文摘要:

      本文考虑多柱域上非齐次的Cauchy-Riemann方程的Riemann-Hilbert边值问题.讨论了上述边值问题可解的充分必要条件,并给出了边值问题解的积分表达式.

英文摘要:

      The Riemann-Hilbert boundary value problem for the inhomogeneous Cauchy-Riemann equation in the polydomain is considered. The sufficient and necessary solvable conditions and integral expressions of solution for the above problem are given.