Electronic Journal of Differential Equations,
Vol. 2013 (2013), No. 72, pp. 1-11.
Title: An approach for constructing coefficients of degenerate elliptic
complex equations
Author: Guo Chun Wen (Peking Univ., Beijing, China)
Abstract:
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.
Submitted November 30, 2012. Published March 17, 2013.
Math Subject Classifications: 35J55, 35R30, 47G10.
Key Words: Degenerate elliptic complex equations;
coefficients of equations; method of integral equations;
Holder continuity of a singular integral.