AN APPROACH FOR CONSTRUCTING COEFFICIENTS OF DEGENERATE ELLIPTIC COMPLEX EQUATIONS

作者：Wen Guo Chun^*

来源：Electronic Journal of Differential Equations, 2013, 72.

• Degenerate elliptic complex equations
• coefficients of equations
• method of integral equations
• Holder continuity of a singular integral

This article deals with the inverse problem for degenerate elliptic systems of first order equations with Riemann-Hilbert type map in simply connected domains. Firstly the formulation and the complex form of the problem for the first-order elliptic systems with the degenerate rank 0 are given, and then the coefficients of the systems are constructed by a new complex analytic method. Here we verify and apply the Holder continuity of a singular integral operator.

• 出版日期2013-3-17
• 单位北京大学