广义解析函数的非线性Riemann问题

Study on the Nonlinear Riemann Problems for Generalized Analytic Functions in the Plane

讨论了平面上广义解析函数的非线性Riemann问题,把它转化为奇异积分方程,并利用压缩原理证明解的存在性。

The paper considers the nonlinear Riemann problem for generalized analytic function in the plane . It translates them to singular integral equations and proves the existence of the solution by means of contract principle.