The Degenerate Quasicomformal Global Homeomorphism and Two Dimensional Singular Integral Equations
Received:October 14, 1996  
Key Words: degenerate   quasicomformal mapping   global homeomorphism   two dimensional   singular integral equations.  
Fund Project:
Author NameAffiliation
HUANG Xin-min Dept. of Math. & Info. Sci.
Guangxi University
Nanning 
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Abstract:
      Suppose that D is a simply connected region whose boundary Г∈Ca1(0<a≤1),the complex function q(z)∈Ca1 and |q(z)|≤1, the strict form may only be hold for z∈Γ, and equality q(z(t))z′(t)/z′(t)+1|z∈Г=0 may hold only at finite points. In this paper global homeomorphism solutions of a Beltrami equation with the complex dilation q(z) satisfy above conditions and solutions of a kind of two dimensional singular integral equations with the coefficient q(z) were btained.
Citation:
DOI:10.3770/j.issn:1000-341X.1999.04.015
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