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Multi-Phase Quadrature Domains and a Related Minimization Problem
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Numerical Analysis, NA.
2016 (English)In: Potential Analysis, ISSN 0926-2601, E-ISSN 1572-929X, 1-21 p.Article in journal (Refereed) PublishedText
Abstract [en]

In this paper we introduce the multi-phase version of the so-called Quadrature Domains (QD), which refers to a generalized type of mean value property for harmonic functions. The well-established and developed theory of one-phase QD was recently generalized to a two-phase version, by one of the current authors (in collaboration). Here we introduce the concept of the multi-phase version of the problem, and prove existence as well as several properties of such solutions. In particular, we discuss possibilities of multi-junction points.

Place, publisher, year, edition, pages
Springer Netherlands, 2016. 1-21 p.
Keyword [en]
Free boundaries, Multi-phase quadrature domains
National Category
Mathematical Analysis
URN: urn:nbn:se:kth:diva-188317DOI: 10.1007/s11118-016-9539-0ISI: 000378557400007ScopusID: 2-s2.0-84955612588OAI: diva2:934917

QC 20160609

Available from: 2016-06-09 Created: 2016-06-09 Last updated: 2016-07-26Bibliographically approved

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Shah Gholian, Henrik
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