This paper deals with generalized Cauchy-Riemann system in even dimensions, which is transformed to an equation similar to the ones in the plane by using the theory of governing equations. 研究了偶数维空间上的广义CauchyRiemann方程组,利用有限伸张映射的控制偏微分方程组理论,将偶数维空间上的广义CauchyRiemann方程组转化为一个类似于平面上的方程的形式。
In this paper, we consider the generalized Carleman type boundary value problem for the generalized Cauchy-Riemann equation with the boundary condition including derivatives. 本文考虑广义Cauchy-Riemann方程的边界条件中含有微商的Carleman型边值问题。
Notes on Cauchy - Riemann equations 关于Cauchy&Riemann方程的注记
The integral of conjugate cauchy type analogous to the integral of Cauchy type is introduced and the solutions of Riemann boundary value problem in class of piecewise conjugate analytic functions are obtained. 提出了相应于Cauchy型积分的Cauchy型共轭积分,并用它来求Riemann边值的分片共轭解析函数的解。
A Solution for Cauchy Problem in Singular Partial Differential Equation of Third Order by Riemann Method 黎曼法解奇三阶偏微分方程的柯西问题