Zeitschrift für Analysis und ihre Anwendungen
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Published online: 2013-01-27
Existence of Solutions of Inverse Problems for Elliptic Complex Equations with Degenerate Curve in Multiple Connected DomainsWen Guochun (1) Peking University, Beijing, China
The present paper deals with the inverse problem for degenerate elliptic systems of first order equations in multiple connected domains with Riemann-Hilbert type map. Firstly the formulation and the complex form of the problem for the degenerate elliptic systems of first order are given, and then the coefficients of the above systems are constructed by a new complex analytic method. As an application of the above results, we can derive the corresponding results of the inverse problem for degenerate elliptic equations of second order in multiple connected domains from Dirichlet to Neumann map.
Keywords: Existence theorems, inverse problems, elliptic complex equations, degen- eracy, multiple connected domains
Guochun Wen: Existence of Solutions of Inverse Problems for Elliptic Complex Equations with Degenerate Curve in Multiple Connected Domains. Z. Anal. Anwend. 32 (2013), 1-17. doi: 10.4171/ZAA/1471