非线性Cauchy—Riemann方程组的逐次逼近法

The Method of Approximation in Item-by-item for Nonlinear Cauchy-Riemann Systen

本文讨论两个独立复变数的非线性Cauchy-Riernann方程组,此方程组在空间C^1(B)内存在唯一解,解可用逐次逼近法得出.

The nonlinear Cauchy-Riemann system with two independent complex variables is discussed in this paper. Using the method of approximation in item- by-item we extablish the existence and uniqueness of solution for this system in C2(B) .