A new process for constructing coefficients of elliptic complex equations in multiply connected domains

作者：Wen Guo Chun^*

来源：Complex Variables and Elliptic Equations, 2013, 58(4): 459-469.

DOI：10.1080/17476933.2011.598929

• inverse problem
• elliptic complex equations
• Riemann-Hilbert-type map
• multiply connected domains

This article concerns the inverse problem for linear elliptic systems of first-order equations with RiemannHilbert-type map in multiply connected domains. First the formulation and the complex form of the problem for the systems are given, and then the coefficients of the elliptic complex equations for the above problem are constructed by a complex analytic method, where the advantage of the methods in other papers is absorbed, and the used method in this article is more simple and the obtained result is more general. As an application of the above results, we can derive the corresponding results of the inverse problem for second-order elliptic equations from Dirichlet to Neumann map in multiply connected domains.

• 出版日期2013-4-1
• 单位北京大学