Reflection principle for systems of first order elliptic equations with analytic coefficients
Author:
Chung Ling Yu
Journal:
Trans. Amer. Math. Soc. 164 (1972), 489501
MSC:
Primary 30A92
MathSciNet review:
0293110
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Abstract: Let T be a simply connected domain of the plane, whose boundary contains a portion of the xaxis. Also let and be holomorphic functions for , with for for . Furthermore, we assume that and are real valued functions for . Our reflection principle states that for any solution of an equation of the type in T under the boundary condition on can be continued analytically across the xaxis, onto the entire mirror image .
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Additional Information
DOI:
http://dx.doi.org/10.1090/S00029947197202931100
PII:
S 00029947(1972)02931100
Keywords:
Reflection principle,
first order elliptic equation,
pseudoanalytic functions,
CauchyRiemann equations
Article copyright:
© Copyright 1972
American Mathematical Society
