A Schwarz Problem for the Generalized Beltrami Equation
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Date
2011
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Publisher
Taylor & Francis Ltd
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Abstract
This article deals with the Schwarz problem [image omitted] where is a regular domain of the complex plane. Sufficient conditions on the coefficients of the differential equation are obtained under which the operator of the corresponding problem for a system of integral equations is contractive in a certain Holder space. This leads to the existence of a unique solution of the original problem.
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Keywords
Schwarz problem, contractive mapping, boundary value problem
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2
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Source
Volume
56
Issue
6
Start Page
503
End Page
511