Two-phase quadrature domains

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Title: Two-phase quadrature domains
Authors: Gardiner, Stephen J.
Sjödin, Tomas
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Date: Jan-2012
Abstract: Recent work on two-phase free boundary problems has led to the investigation of a new type of quadrature domain for harmonic functions. This paper develops a method of constructing such quadrature domains based on the technique of partial balayage, which has proved to be a useful tool in the study of one-phase quadrature domains and Hele-Shaw flows.
Type of material: Journal Article
Publisher: Springer
Journal: Journal D'Analyse Mathématique
Volume: 116
Issue: 1
Start page: 335
End page: 354
Copyright (published version): 2012 Springer
Keywords: Harmonic functionSuperharmonic functionQuadrature domainPartial balayage
DOI: 10.1007/s11854-012-0009-3
Language: en
Status of Item: Not peer reviewed
Appears in Collections:Mathematics and Statistics Research Collection

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