Two-phase quadrature domains

Gardiner, Stephen J; Sjödin, Tomas

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Two-phase quadrature domains

Gardiner, Stephen J

University of College Dublin.

Sjödin, Tomas

Linköping University, Department of Mathematics, Applied Mathematics. Linköping University, The Institute of Technology.

2012 (English)In: Journal d'Analyse Mathematique, ISSN 0021-7670, E-ISSN 1565-8538, Vol. 116, p. 335-354Article in journal (Refereed) Published

Abstract [en]

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.

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Springer Verlag (Germany) , 2012. Vol. 116, p. 335-354

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URN: urn:nbn:se:liu:diva-76547DOI: 10.1007/s11854-012-0009-3ISI: 000301446000009OAI: oai:DiVA.org:liu-76547DiVA, id: diva2:515116

Available from: 2012-04-12 Created: 2012-04-11 Last updated: 2017-12-07

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